2(x+1)-(x+2)3=0

Solution for 2(x+1)-(x+2)3=0 equation:

Simplifying
2(x + 1) + -1(x + 2) * 3 = 0

Reorder the terms:
2(1 + x) + -1(x + 2) * 3 = 0
(1 * 2 + x * 2) + -1(x + 2) * 3 = 0
(2 + 2x) + -1(x + 2) * 3 = 0

Reorder the terms:
2 + 2x + -1(2 + x) * 3 = 0

Reorder the terms for easier multiplication:
2 + 2x + -1 * 3(2 + x) = 0

Multiply -1 * 3
2 + 2x + -3(2 + x) = 0
2 + 2x + (2 * -3 + x * -3) = 0
2 + 2x + (-6 + -3x) = 0

Reorder the terms:
2 + -6 + 2x + -3x = 0

Combine like terms: 2 + -6 = -4
-4 + 2x + -3x = 0

Combine like terms: 2x + -3x = -1x
-4 + -1x = 0

Solving
-4 + -1x = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4