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 = -14x
-14x = -12 + 10x + -10x

Combine like terms: 10x + -10x = 0
-14x = -12 + 0
-14x = -12

Divide each side by '-14'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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