15x-6=45x+6

Solution for 15x-6=45x+6 equation:

Simplifying
15x + -6 = 45x + 6

Reorder the terms:
-6 + 15x = 45x + 6

Reorder the terms:
-6 + 15x = 6 + 45x

Solving
-6 + 15x = 6 + 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
-6 + 15x + -45x = 6 + 45x + -45x

Combine like terms: 15x + -45x = -30x
-6 + -30x = 6 + 45x + -45x

Combine like terms: 45x + -45x = 0
-6 + -30x = 6 + 0
-6 + -30x = 6

Add '6' to each side of the equation.
-6 + 6 + -30x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -30x = 6 + 6
-30x = 6 + 6

Combine like terms: 6 + 6 = 12
-30x = 12

Divide each side by '-30'.
x = -0.4

Simplifying
x = -0.4