6-7x=15x-42

Solution for 6-7x=15x-42 equation:

Simplifying
6 + -7x = 15x + -42

Reorder the terms:
6 + -7x = -42 + 15x

Solving
6 + -7x = -42 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + -7x + -15x = -42 + 15x + -15x

Combine like terms: -7x + -15x = -22x
6 + -22x = -42 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -22x = -42 + 0
6 + -22x = -42

Add '-6' to each side of the equation.
6 + -6 + -22x = -42 + -6

Combine like terms: 6 + -6 = 0
0 + -22x = -42 + -6
-22x = -42 + -6

Combine like terms: -42 + -6 = -48
-22x = -48

Divide each side by '-22'.
x = 2.181818182

Simplifying
x = 2.181818182