-3x+6=x-42

Solution for -3x+6=x-42 equation:

Simplifying
-3x + 6 = x + -42

Reorder the terms:
6 + -3x = x + -42

Reorder the terms:
6 + -3x = -42 + x

Solving
6 + -3x = -42 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -3x + -1x = -42 + x + -1x

Combine like terms: -3x + -1x = -4x
6 + -4x = -42 + x + -1x

Combine like terms: x + -1x = 0
6 + -4x = -42 + 0
6 + -4x = -42

Add '-6' to each side of the equation.
6 + -6 + -4x = -42 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -42 + -6
-4x = -42 + -6

Combine like terms: -42 + -6 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12