12x+15-1x+41=5x-62-2x+14

Solution for 12x+15-1x+41=5x-62-2x+14 equation:

Simplifying
12x + 15 + -1x + 41 = 5x + -62 + -2x + 14

Reorder the terms:
15 + 41 + 12x + -1x = 5x + -62 + -2x + 14

Combine like terms: 15 + 41 = 56
56 + 12x + -1x = 5x + -62 + -2x + 14

Combine like terms: 12x + -1x = 11x
56 + 11x = 5x + -62 + -2x + 14

Reorder the terms:
56 + 11x = -62 + 14 + 5x + -2x

Combine like terms: -62 + 14 = -48
56 + 11x = -48 + 5x + -2x

Combine like terms: 5x + -2x = 3x
56 + 11x = -48 + 3x

Solving
56 + 11x = -48 + 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.
56 + 11x + -3x = -48 + 3x + -3x

Combine like terms: 11x + -3x = 8x
56 + 8x = -48 + 3x + -3x

Combine like terms: 3x + -3x = 0
56 + 8x = -48 + 0
56 + 8x = -48

Add '-56' to each side of the equation.
56 + -56 + 8x = -48 + -56

Combine like terms: 56 + -56 = 0
0 + 8x = -48 + -56
8x = -48 + -56

Combine like terms: -48 + -56 = -104
8x = -104

Divide each side by '8'.
x = -13

Simplifying
x = -13