Question

Solve for x: 7x-27=4x+12

Answer 1

`7x-27=4x+12`

To solve for x, we need to join similar terms on either side. For this, we'll transfer 4x to the left side and -27 to the right side. When transferring terms, their sign will reverse as well. From positive to negative and negative to positive. See below.

`\begin{gathered} 7x-4x=12+27 \\ 3x=39 \\ \text{Divide both sides by 3.} \\ (3x)/(3)=(39)/(3) \\ x=13 \end{gathered}`

The value of x that makes the equation true is 13.

To check that, substitute the x-value with 13.

7x - 27 = 4x + 12

7(13) - 27 = 4(13) + 12

91 - 27 = 52 + 12

64 = 64