1/5(25x-75)+9=1/4(8x+36)

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given: 

1/5(25x-75)+9=1/4(8x+36)

Simplify the expression:

Solution:

Distribute1/5 and ¼ to the corresponding values inside the parenthesis.

1/5(25x-75)+9=1/4(8x+36)

5x - 25 + 9 = 2x + 9

Transpose 2x + 9 on the opposite side of the equation and combine like terms. Remember when transposing a number, the sign changes.

5x -25 + 9 - 2x - 9 = 0

3x -25 = 0

In order to determine the value of x, transpose -25 on the other side of the equation and divide both sides by 3.

3x = 25

x = 25/3 or 8.333