solve for x2x+4(2x+7)=3(2x+4)??​

Mathematics · Middle School · Mon Jan 18 2021

Answered on

Given the equation:

2x + 4(2x + 7) = 3(2x +4)

Solve for x.

In order to solve for x, we first need to distribute 4 and 3to each value inside their corresponding parenthesis.

2x + 4(2x + 7) = 3(2x+ 4)

2x + 8x + 28 = 6x + 12

10x + 28 = 6x + 12

Transpose 28 and 6x on the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

10x - 6x = 12 -28

4x = -16

Divide both sides by 4 in order to cancel out 4x, leaving behind x.

4x/4 = -16/4

x = -4

Final answer:

x = -4