3x+6=9x+42

Solution for 3x+6=9x+42 equation:

Simplifying
3x + 6 = 9x + 42

Reorder the terms:
6 + 3x = 9x + 42

Reorder the terms:
6 + 3x = 42 + 9x

Solving
6 + 3x = 42 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + 3x + -9x = 42 + 9x + -9x

Combine like terms: 3x + -9x = -6x
6 + -6x = 42 + 9x + -9x

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

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

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

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

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

Simplifying
x = -6