Equations with Parentheses

Introduction to Equations with Parentheses:
An equation is called as making the condition equal for an expression. Equation with equal sign placed is between the expressions. We have to solve for x in math equation. Here, x represents the unknown variable for the equation. Solving this equation, we have to place the x term on the left side of the equation. Take the constant term on the right side of the equation. Let us see about equations with parentheses in this article. I like to share this literal equations with you all through my article.

Worked Examples to Equations with Parentheses

Example 1 to Equations with Parentheses:

Solve the equation with parenthesis 5(x + 6) = 2(x + 24).

Solution:

Step 1:

Given equations is 5(x + 6) = 2(x + 24) and solve for x.

Step 2:

Multiply the terms inside the parenthesis, we get,

5x + 30 = 2x + 48

Step 3:

Combine the x term on the left side and constant terms on the right side, we get,

5x – 2x = 48 – 30

Step 3:

Subtract the like terms, we get,

3x = 18

Step 4:

Multiply 1/3 on both sides of the above equation, we get,

3x/3 = 18/3

x = 6

Hence, the solution for the above equation is x = 6.

Example 2 to Equations with Parentheses:

Solve the equation with parenthesis 7(x + 4) = 2(x + 4).

Solution:

Step 1:

Given equations is 7(x + 4) = 2(x + 4) and solve for x.

Step 2:

Multiply the terms inside the parenthesis, we get,

7x + 28 = 2x + 8

Step 3:

Combine the x term on the left side and constant terms on the right side, we get,

7x – 2x = 8 – 28

Step 3:

Subtract the like terms, we get,

5x = - 20

Step 4:

Multiply 1/5 on both sides of the above equation, we get,

5x/5 = - 20/5

x = - 4

Hence, the solution for the above equation is x = - 4. Between, if you have problem on these topics Boolean algebra problems, please browse expert math related websites for more help on Algebra Formulas.

Practice Problems to Equations with Parentheses

Problem 1:

Solve the equation with parenthesis 6(x - 3) = 5(x - 2).

Problem 2:

Solve the equation with parenthesis 9(x - 2) = 7(x - 2).

Solutions:

1. x = 8

2. x = 2