How many inches is 2(x+2)+2(x+4)=28

Mathematics · Middle School · Mon Jan 18 2021

Answered on

Given the equation:

2(x+2)+2(x+4)=28

Determine how many inches.

Solution:

Since we are asked to determine how many inches, then we can assume that x = measurement in inches. In this case, we need to solve for x. The first step is to distribute 2 to their corresponding parenthesis.

2(x+2)+2(x+4)=28

2x + 4 + 2x + 8 = 28

4x + 12 = 28

Transpose 12 on the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

4x = 28 - 12

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