(x+2)2-10=4x+6

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Solution for (x+2)2-10=4x+6 equation:


Simplifying
(x + 2) * 2 + -10 = 4x + 6

Reorder the terms:
(2 + x) * 2 + -10 = 4x + 6

Reorder the terms for easier multiplication:
2(2 + x) + -10 = 4x + 6
(2 * 2 + x * 2) + -10 = 4x + 6
(4 + 2x) + -10 = 4x + 6

Reorder the terms:
4 + -10 + 2x = 4x + 6

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

Reorder the terms:
-6 + 2x = 6 + 4x

Solving
-6 + 2x = 6 + 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.
-6 + 2x + -4x = 6 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-6 + -2x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -2x = 6 + 0
-6 + -2x = 6

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

Combine like terms: -6 + 6 = 0
0 + -2x = 6 + 6
-2x = 6 + 6

Combine like terms: 6 + 6 = 12
-2x = 12

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

Simplifying
x = -6

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