12-(-2x+6)=5-(4x+5)

Solution for 12-(-2x+6)=5-(4x+5) equation:

Simplifying
12 + -1(-2x + 6) = 5 + -1(4x + 5)

Reorder the terms:
12 + -1(6 + -2x) = 5 + -1(4x + 5)
12 + (6 * -1 + -2x * -1) = 5 + -1(4x + 5)
12 + (-6 + 2x) = 5 + -1(4x + 5)

Combine like terms: 12 + -6 = 6
6 + 2x = 5 + -1(4x + 5)

Reorder the terms:
6 + 2x = 5 + -1(5 + 4x)
6 + 2x = 5 + (5 * -1 + 4x * -1)
6 + 2x = 5 + (-5 + -4x)

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

Solving
6 + 2x = -4x

Solving for variable 'x'.

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 6x = 0 + -6

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

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

Divide each side by '6'.
x = -1

Simplifying
x = -1