(x-6)(x+2)-2x=x(x+4)-7

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Solution for (x-6)(x+2)-2x=x(x+4)-7 equation: 


Simplifying
(x + -6)(x + 2) + -2x = x(x + 4) + -7

Reorder the terms:
(-6 + x)(x + 2) + -2x = x(x + 4) + -7

Reorder the terms:
(-6 + x)(2 + x) + -2x = x(x + 4) + -7

Multiply (-6 + x) * (2 + x)
(-6(2 + x) + x(2 + x)) + -2x = x(x + 4) + -7
((2 * -6 + x * -6) + x(2 + x)) + -2x = x(x + 4) + -7
((-12 + -6x) + x(2 + x)) + -2x = x(x + 4) + -7
(-12 + -6x + (2 * x + x * x)) + -2x = x(x + 4) + -7
(-12 + -6x + (2x + x2)) + -2x = x(x + 4) + -7

Combine like terms: -6x + 2x = -4x
(-12 + -4x + x2) + -2x = x(x + 4) + -7

Reorder the terms:
-12 + -4x + -2x + x2 = x(x + 4) + -7

Combine like terms: -4x + -2x = -6x
-12 + -6x + x2 = x(x + 4) + -7

Reorder the terms:
-12 + -6x + x2 = x(4 + x) + -7
-12 + -6x + x2 = (4 * x + x * x) + -7
-12 + -6x + x2 = (4x + x2) + -7

Reorder the terms:
-12 + -6x + x2 = -7 + 4x + x2

Add '-1x2' to each side of the equation.
-12 + -6x + x2 + -1x2 = -7 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + -6x + 0 = -7 + 4x + x2 + -1x2
-12 + -6x = -7 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + -6x = -7 + 4x + 0
-12 + -6x = -7 + 4x

Solving
-12 + -6x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + -6x + -4x = -7 + 4x + -4x

Combine like terms: -6x + -4x = -10x
-12 + -10x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + -10x = -7 + 0
-12 + -10x = -7

Add '12' to each side of the equation.
-12 + 12 + -10x = -7 + 12

Combine like terms: -12 + 12 = 0
0 + -10x = -7 + 12
-10x = -7 + 12

Combine like terms: -7 + 12 = 5
-10x = 5

Divide each side by '-10'.
x = -0.5

Simplifying
x = -0.5

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