10x+6=42-2x

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

Simplifying
10x + 6 = 42 + -2x

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 = 12x
6 + 12x = 42 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 12x = 42 + 0
6 + 12x = 42

Add '-6' to each side of the equation.
6 + -6 + 12x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 12x = 42 + -6
12x = 42 + -6

Combine like terms: 42 + -6 = 36
12x = 36

Divide each side by '12'.
x = 3

Simplifying
x = 3