What is

-3 (x - 1) + 8 (x - 3) = 6x + 7 - 5x

Add 6x and - 5x to get x.

-3 (x-1) + 8 (x-3) = x+7

Simplify each term.

-3x+3+8x-24=x+7

Add - 3x and 8x to get 5x.

5x+3-24=x+7

Add 3 and - 24 to get - 21.

5x-21=x+7

Since x contains the variable to solve for, move it to the left-hand side of the equation by subtracting x from both sides.

5x-21-x=7

Add 5x and - x to get 4x.

4x-21=7

Since - 21 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 21 to both sides.

4x=21+7

Add 21 and 7 to get 28.

4x=28

Divide each term in the equation by 4.

x=7

x=7