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

Solution for 2(x+3)-3(x+6)=-7 equation:

Simplifying
2(x + 3) + -3(x + 6) = -7

Reorder the terms:
2(3 + x) + -3(x + 6) = -7
(3 * 2 + x * 2) + -3(x + 6) = -7
(6 + 2x) + -3(x + 6) = -7

Reorder the terms:
6 + 2x + -3(6 + x) = -7
6 + 2x + (6 * -3 + x * -3) = -7
6 + 2x + (-18 + -3x) = -7

Reorder the terms:
6 + -18 + 2x + -3x = -7

Combine like terms: 6 + -18 = -12
-12 + 2x + -3x = -7

Combine like terms: 2x + -3x = -1x
-12 + -1x = -7

Solving
-12 + -1x = -7

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + -1x = -7 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = -7 + 12
-1x = -7 + 12

Combine like terms: -7 + 12 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5