3x-2x(x-1)=-2x+7x-12

Solution for 3x-2x(x-1)=-2x+7x-12 equation:

Simplifying
3x + -2x(x + -1) = -2x + 7x + -12

Reorder the terms:
3x + -2x(-1 + x) = -2x + 7x + -12
3x + (-1 * -2x + x * -2x) = -2x + 7x + -12
3x + (2x + -2x2) = -2x + 7x + -12

Combine like terms: 3x + 2x = 5x
5x + -2x2 = -2x + 7x + -12

Reorder the terms:
5x + -2x2 = -12 + -2x + 7x

Combine like terms: -2x + 7x = 5x
5x + -2x2 = -12 + 5x

Add '-5x' to each side of the equation.
5x + -5x + -2x2 = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
0 + -2x2 = -12 + 5x + -5x
-2x2 = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2x2 = -12 + 0
-2x2 = -12

Solving
-2x2 = -12

Solving for variable 'x'.

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

Divide each side by '-2'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}