6(1-2x)=15x-3

Solution for 6(1-2x)=15x-3 equation:

Simplifying
6(1 + -2x) = 15x + -3
(1 * 6 + -2x * 6) = 15x + -3
(6 + -12x) = 15x + -3

Reorder the terms:
6 + -12x = -3 + 15x

Solving
6 + -12x = -3 + 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 + -12x + -15x = -3 + 15x + -15x

Combine like terms: -12x + -15x = -27x
6 + -27x = -3 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -27x = -3 + 0
6 + -27x = -3

Add '-6' to each side of the equation.
6 + -6 + -27x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -27x = -3 + -6
-27x = -3 + -6

Combine like terms: -3 + -6 = -9
-27x = -9

Divide each side by '-27'.
x = 0.3333333333

Simplifying
x = 0.3333333333