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

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

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

Combine like terms: x + -2x = -1x
-6(-1x) + 3 = -2(3x + -1x) + 6 + 9x

Remove parenthesis around (-1x)
-6 * -1x + 3 = -2(3x + -1x) + 6 + 9x

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

Reorder the terms:
3 + 6x = -2(3x + -1x) + 6 + 9x

Combine like terms: 3x + -1x = 2x
3 + 6x = -2(2x) + 6 + 9x

Remove parenthesis around (2x)
3 + 6x = -2 * 2x + 6 + 9x

Multiply -2 * 2
3 + 6x = -4x + 6 + 9x

Reorder the terms:
3 + 6x = 6 + -4x + 9x

Combine like terms: -4x + 9x = 5x
3 + 6x = 6 + 5x

Solving
3 + 6x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + 6x + -5x = 6 + 5x + -5x

Combine like terms: 6x + -5x = 1x
3 + 1x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + 1x = 6 + 0
3 + 1x = 6

Add '-3' to each side of the equation.
3 + -3 + 1x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 6 + -3
1x = 6 + -3

Combine like terms: 6 + -3 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3