3(x+1)-3-2(x+3)=-2(x+6)

Solution for 3(x+1)-3-2(x+3)=-2(x+6) equation:

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

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

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

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

Combine like terms: 3 + -3 = 0
0 + -6 + 3x + -2x = -2(x + 6)
-6 + 3x + -2x = -2(x + 6)

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

Reorder the terms:
-6 + 1x = -2(6 + x)
-6 + 1x = (6 * -2 + x * -2)
-6 + 1x = (-12 + -2x)

Solving
-6 + 1x = -12 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + 1x + 2x = -12 + -2x + 2x

Combine like terms: 1x + 2x = 3x
-6 + 3x = -12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 3x = -12 + 0
-6 + 3x = -12

Add '6' to each side of the equation.
-6 + 6 + 3x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = -12 + 6
3x = -12 + 6

Combine like terms: -12 + 6 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2