(x+4)2=x-6

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


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

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

Reorder the terms for easier multiplication:
2(4 + x) = x + -6
(4 * 2 + x * 2) = x + -6
(8 + 2x) = x + -6

Reorder the terms:
8 + 2x = -6 + x

Solving
8 + 2x = -6 + x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -6 + -8 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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