x(x-2)+8=x(x+6)

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Solution for x(x-2)+8=x(x+6) equation:


Simplifying
x(x + -2) + 8 = x(x + 6)

Reorder the terms:
x(-2 + x) + 8 = x(x + 6)
(-2 * x + x * x) + 8 = x(x + 6)
(-2x + x2) + 8 = x(x + 6)

Reorder the terms:
8 + -2x + x2 = x(x + 6)

Reorder the terms:
8 + -2x + x2 = x(6 + x)
8 + -2x + x2 = (6 * x + x * x)
8 + -2x + x2 = (6x + x2)

Add '-1x2' to each side of the equation.
8 + -2x + x2 + -1x2 = 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + -2x + 0 = 6x + x2 + -1x2
8 + -2x = 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + -2x = 6x + 0
8 + -2x = 6x

Solving
8 + -2x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + -2x + -6x = 6x + -6x

Combine like terms: -2x + -6x = -8x
8 + -8x = 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -8x = 0

Add '-8' to each side of the equation.
8 + -8 + -8x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -8x = 0 + -8
-8x = 0 + -8

Combine like terms: 0 + -8 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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