2x-3(x+2)+12=3-5(x+1)

Solution for 2x-3(x+2)+12=3-5(x+1) equation:

Simplifying
2x + -3(x + 2) + 12 = 3 + -5(x + 1)

Reorder the terms:
2x + -3(2 + x) + 12 = 3 + -5(x + 1)
2x + (2 * -3 + x * -3) + 12 = 3 + -5(x + 1)
2x + (-6 + -3x) + 12 = 3 + -5(x + 1)

Reorder the terms:
-6 + 12 + 2x + -3x = 3 + -5(x + 1)

Combine like terms: -6 + 12 = 6
6 + 2x + -3x = 3 + -5(x + 1)

Combine like terms: 2x + -3x = -1x
6 + -1x = 3 + -5(x + 1)

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

Combine like terms: 3 + -5 = -2
6 + -1x = -2 + -5x

Solving
6 + -1x = -2 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
6 + -1x + 5x = -2 + -5x + 5x

Combine like terms: -1x + 5x = 4x
6 + 4x = -2 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 4x = -2 + 0
6 + 4x = -2

Add '-6' to each side of the equation.
6 + -6 + 4x = -2 + -6

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

Combine like terms: -2 + -6 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2