6(1+3x)-9x=6(2-x)

Solution for 6(1+3x)-9x=6(2-x) equation:

Simplifying
6(1 + 3x) + -9x = 6(2 + -1x)
(1 * 6 + 3x * 6) + -9x = 6(2 + -1x)
(6 + 18x) + -9x = 6(2 + -1x)

Combine like terms: 18x + -9x = 9x
6 + 9x = 6(2 + -1x)
6 + 9x = (2 * 6 + -1x * 6)
6 + 9x = (12 + -6x)

Solving
6 + 9x = 12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
6 + 9x + 6x = 12 + -6x + 6x

Combine like terms: 9x + 6x = 15x
6 + 15x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 15x = 12 + 0
6 + 15x = 12

Add '-6' to each side of the equation.
6 + -6 + 15x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 15x = 12 + -6
15x = 12 + -6

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

Divide each side by '15'.
x = 0.4

Simplifying
x = 0.4