2(x+5)-(x-6)=3(x+7)-3

Solution for 2(x+5)-(x-6)=3(x+7)-3 equation:

Simplifying
2(x + 5) + -1(x + -6) = 3(x + 7) + -3

Reorder the terms:
2(5 + x) + -1(x + -6) = 3(x + 7) + -3
(5 * 2 + x * 2) + -1(x + -6) = 3(x + 7) + -3
(10 + 2x) + -1(x + -6) = 3(x + 7) + -3

Reorder the terms:
10 + 2x + -1(-6 + x) = 3(x + 7) + -3
10 + 2x + (-6 * -1 + x * -1) = 3(x + 7) + -3
10 + 2x + (6 + -1x) = 3(x + 7) + -3

Reorder the terms:
10 + 6 + 2x + -1x = 3(x + 7) + -3

Combine like terms: 10 + 6 = 16
16 + 2x + -1x = 3(x + 7) + -3

Combine like terms: 2x + -1x = 1x
16 + 1x = 3(x + 7) + -3

Reorder the terms:
16 + 1x = 3(7 + x) + -3
16 + 1x = (7 * 3 + x * 3) + -3
16 + 1x = (21 + 3x) + -3

Reorder the terms:
16 + 1x = 21 + -3 + 3x

Combine like terms: 21 + -3 = 18
16 + 1x = 18 + 3x

Solving
16 + 1x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16 + 1x + -3x = 18 + 3x + -3x

Combine like terms: 1x + -3x = -2x
16 + -2x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -2x = 18 + 0
16 + -2x = 18

Add '-16' to each side of the equation.
16 + -16 + -2x = 18 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 18 + -16
-2x = 18 + -16

Combine like terms: 18 + -16 = 2
-2x = 2

Divide each side by '-2'.
x = -1

Simplifying
x = -1