x(x-2)-x(x-6)=10x-12

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Solution for x(x-2)-x(x-6)=10x-12 equation: 


Simplifying
x(x + -2) + -1x(x + -6) = 10x + -12

Reorder the terms:
x(-2 + x) + -1x(x + -6) = 10x + -12
(-2 * x + x * x) + -1x(x + -6) = 10x + -12
(-2x + x2) + -1x(x + -6) = 10x + -12

Reorder the terms:
-2x + x2 + -1x(-6 + x) = 10x + -12
-2x + x2 + (-6 * -1x + x * -1x) = 10x + -12
-2x + x2 + (6x + -1x2) = 10x + -12

Reorder the terms:
-2x + 6x + x2 + -1x2 = 10x + -12

Combine like terms: -2x + 6x = 4x
4x + x2 + -1x2 = 10x + -12

Combine like terms: x2 + -1x2 = 0
4x + 0 = 10x + -12
4x = 10x + -12

Reorder the terms:
4x = -12 + 10x

Solving
4x = -12 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
4x + -10x = -12 + 10x + -10x

Combine like terms: 4x + -10x = -6x
-6x = -12 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6x = -12 + 0
-6x = -12

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

Simplifying
x = 2

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