-7(x+6)=-8x

Solution for -7(x+6)=-8x equation:

Simplifying
-7(x + 6) = -8x

Reorder the terms:
-7(6 + x) = -8x
(6 * -7 + x * -7) = -8x
(-42 + -7x) = -8x

Solving
-42 + -7x = -8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8x' to each side of the equation.
-42 + -7x + 8x = -8x + 8x

Combine like terms: -7x + 8x = 1x
-42 + 1x = -8x + 8x

Combine like terms: -8x + 8x = 0
-42 + 1x = 0

Add '42' to each side of the equation.
-42 + 42 + 1x = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 1x = 0 + 42
1x = 0 + 42

Combine like terms: 0 + 42 = 42
1x = 42

Divide each side by '1'.
x = 42

Simplifying
x = 42