10x+6=x+42

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

Simplifying
10x + 6 = x + 42

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

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

Solving
6 + 10x = 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 + 10x + -1x = 42 + x + -1x

Combine like terms: 10x + -1x = 9x
6 + 9x = 42 + x + -1x

Combine like terms: x + -1x = 0
6 + 9x = 42 + 0
6 + 9x = 42

Add '-6' to each side of the equation.
6 + -6 + 9x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = 42 + -6
9x = 42 + -6

Combine like terms: 42 + -6 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4