2(x+1)-(x-2)=3(x-4)

Solution for 2(x+1)-(x-2)=3(x-4) equation:

Simplifying
2(x + 1) + -1(x + -2) = 3(x + -4)

Reorder the terms:
2(1 + x) + -1(x + -2) = 3(x + -4)
(1 * 2 + x * 2) + -1(x + -2) = 3(x + -4)
(2 + 2x) + -1(x + -2) = 3(x + -4)

Reorder the terms:
2 + 2x + -1(-2 + x) = 3(x + -4)
2 + 2x + (-2 * -1 + x * -1) = 3(x + -4)
2 + 2x + (2 + -1x) = 3(x + -4)

Reorder the terms:
2 + 2 + 2x + -1x = 3(x + -4)

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

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

Reorder the terms:
4 + 1x = 3(-4 + x)
4 + 1x = (-4 * 3 + x * 3)
4 + 1x = (-12 + 3x)

Solving
4 + 1x = -12 + 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.
4 + 1x + -3x = -12 + 3x + -3x

Combine like terms: 1x + -3x = -2x
4 + -2x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -2x = -12 + 0
4 + -2x = -12

Add '-4' to each side of the equation.
4 + -4 + -2x = -12 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -12 + -4
-2x = -12 + -4

Combine like terms: -12 + -4 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8