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

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

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

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

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

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

Combine like terms: 2 + 4 = 6
6 + 2x + -2x = -1(x + -3)

Combine like terms: 2x + -2x = 0
6 + 0 = -1(x + -3)
6 = -1(x + -3)

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

Solving
6 = 3 + -1x

Solving for variable 'x'.

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

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

Combine like terms: -1x + x = 0
6 + x = 3 + 0
6 + x = 3

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

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

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

Simplifying
x = -3