10x+6=2x-42

Solution for 10x+6=2x-42 equation:

Simplifying
10x + 6 = 2x + -42

Reorder the terms:
6 + 10x = 2x + -42

Reorder the terms:
6 + 10x = -42 + 2x

Solving
6 + 10x = -42 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 10x + -2x = -42 + 2x + -2x

Combine like terms: 10x + -2x = 8x
6 + 8x = -42 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 8x = -42 + 0
6 + 8x = -42

Add '-6' to each side of the equation.
6 + -6 + 8x = -42 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = -42 + -6
8x = -42 + -6

Combine like terms: -42 + -6 = -48
8x = -48

Divide each side by '8'.
x = -6

Simplifying
x = -6