## Simple algebra

Introduction :

In mathematics, the algebra is a generalized form of arithmetic. In arithmetic we use numbers. But in case of algebra, both the letters and numeral are used to represents numbers. The letters that are used to represent number are known as

Algebra problems solve 3 x 21 8x 3:

The algebraic equation is 3x + 21 = 8x + 3.solve for x.

We have to find the value of x from the given equation

From the given, 3x, 8x are one set of like terms and 3, 21 are another set of like terms.

3x + 21 - 21 = 8x + 3 - 21

3x + 0 = 8x - 18

3x = 8x -18

3x – 8x = 8x -18 -8x

-5x = - 18

-5x /-5 = -18 / -5

x = 18 / 5

To check the answer substitute the value of x in given equation and simplify.

The algebraic equation is 3x - 21 = 8x - 3.solve for x.

We have to find the value of x from the given equation

3x - 21 = 8x - 3

From the given, 3x, 8x are one set of like terms and 3, 21 are another set of like terms.

3x - 21 + 21 = 8x - 3 + 21

3x + 0 = 8x + 18

3x = 8x -18

3x – 8x = 8x -18 -8x

-5x = 18

-5x /-5 = 18 / -5

x = -18 / 5

To check the answer substitute the value of x in given equation and simplify.

Here we have to find x from the given expression.

The given equation is 8x + 1 + 5x = 14

Here 8x, 5x are one set of like terms and 1, 14 are another set of like terms.

8x + 1 + 5x - 1= 14 – 1

8x + 5x +1- 1 =13

13x = 13

13x/13 = 13/13

x = 1

Example problem:

Here, we have to find the value of x from the given expression

The given equation is 6x + 2 = 5x + 14

Here 6x, 5x are one set of like terms and 2, 14 are another set of like terms.

6x + 2 – 2 = 5x + 14 – 2

6x = 5x + 12

6x – 5x = 5x + 12 – 5x

x = 12

Solve practice problems:

The algebraic equation is 3x - 3 = 8x + 8.solve for x.

The algebraic equation is 3x + 21 = -3x - 3.solve for x

In mathematics, the algebra is a generalized form of arithmetic. In arithmetic we use numbers. But in case of algebra, both the letters and numeral are used to represents numbers. The letters that are used to represent number are known as

**literal.**If a statement containing numbers or expression in which both sides are equal then that statement is called equation. For example take the equation a + b = 12. Here 12 is called constant and a, b are the variable and ‘-’ is an arithmetic symbol. Variables a and b has some numerical value that makes the statement true. In this article we shall discus about some basic algebra problems.Algebra problems solve 3 x 21 8x 3:

**Problem:**The algebraic equation is 3x + 21 = 8x + 3.solve for x.

**Solution:**We have to find the value of x from the given equation

**Given:****3x + 21 = 8x + 3****Step 1: Move like terms in one side:**From the given, 3x, 8x are one set of like terms and 3, 21 are another set of like terms.

**Step 2: subtract 21 from both sides.**3x + 21 - 21 = 8x + 3 - 21

3x + 0 = 8x - 18

3x = 8x -18

**Step 2: subtract 8x from both sides:**3x – 8x = 8x -18 -8x

-5x = - 18

**Step 3: divide the equation by -5 on both sides**-5x /-5 = -18 / -5

x = 18 / 5

**The value of x is 18 / 5**To check the answer substitute the value of x in given equation and simplify.

**Problem:**The algebraic equation is 3x - 21 = 8x - 3.solve for x.

**Solution:**We have to find the value of x from the given equation

**Given:**3x - 21 = 8x - 3

**Step 1: Move like terms in one side:**From the given, 3x, 8x are one set of like terms and 3, 21 are another set of like terms.

**Step 2: add 21 from both sides.**3x - 21 + 21 = 8x - 3 + 21

3x + 0 = 8x + 18

3x = 8x -18

**Step 2: subtract 8x from both sides:**3x – 8x = 8x -18 -8x

-5x = 18

**Step 3: divide the equation by -5 on both sides**-5x /-5 = 18 / -5

x = -18 / 5

**The value of x is -18 / 5**To check the answer substitute the value of x in given equation and simplify.

**Example problems:**- Algebraic expression is 8x + 1 + 5x = 14.solve for x.

**Solution:**Here we have to find x from the given expression.

The given equation is 8x + 1 + 5x = 14

**Move the like terms in one side:**Here 8x, 5x are one set of like terms and 1, 14 are another set of like terms.

**Subtract 1 from both sides:**8x + 1 + 5x - 1= 14 – 1

8x + 5x +1- 1 =13

13x = 13

**Divide the expression by 13 on both sides:**13x/13 = 13/13

x = 1

**The value of x is 1.**Example problem:

- Algebraic expression is 6x + 2 = 5x + 14.solve for x.

**Solution:**Here, we have to find the value of x from the given expression

The given equation is 6x + 2 = 5x + 14

**Move the like terms in one side:**Here 6x, 5x are one set of like terms and 2, 14 are another set of like terms.

**Subtract 2 from both sides:**6x + 2 – 2 = 5x + 14 – 2

6x = 5x + 12

**Subtract 5x from both sides:**6x – 5x = 5x + 12 – 5x

x = 12

**The value of x is 12.**Solve practice problems:

**Problem:**The algebraic equation is 3x - 3 = 8x + 8.solve for x.

**Answer: the value of x is -11/5.****Problem:**

The algebraic equation is 3x + 21 = -3x - 3.solve for x

**Answer: the value of x is -4.**