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

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

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

Reorder the terms:
-6(-1 + x) = 3(3 + -2) * x
(-1 * -6 + x * -6) = 3(3 + -2) * x
(6 + -6x) = 3(3 + -2) * x

Combine like terms: 3 + -2 = 1
6 + -6x = 3(1) * x

Multiply 3 * 1
6 + -6x = 3x

Solving
6 + -6x = 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
6 + -9x = 0

Add '-6' to each side of the equation.
6 + -6 + -9x = 0 + -6

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

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

Divide each side by '-9'.
x = 0.6666666667

Simplifying
x = 0.6666666667