2x+6=10x-42

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

Simplifying
2x + 6 = 10x + -42

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

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

Solving
6 + 2x = -42 + 10x

Solving for variable 'x'.

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

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

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

Combine like terms: 10x + -10x = 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