7x+3(-x+6)=42 Show all steps and properties used

Mathematics · High School · Mon Jan 18 2021

Answered on

Given the numerical equation:

7x + 3(-x + 6) = 42

Solve for x.

Solution:

In order to solve for x, we simply need to distribute first 3 to each value inside the parenthesis.

7x + 3(-x + 6) = 42

7x - 3x + 18 = 42

4x + 8 = 42

Transpose 8 on the other side of the equation, hence we must take note that in transposing numbers, the sign changes.

4x = 42 - 8

4x = 34

Divide both sides by 4 in order to get the value of x.

4x/4 = 34/4

x = 34/4 or 8.5

Final answer:
x = 34/4 or 8.5