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

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


Simplifying
(x + 10) * 2 = (2 + -1x) * 2

Reorder the terms:
(10 + x) * 2 = (2 + -1x) * 2

Reorder the terms for easier multiplication:
2(10 + x) = (2 + -1x) * 2
(10 * 2 + x * 2) = (2 + -1x) * 2
(20 + 2x) = (2 + -1x) * 2

Reorder the terms for easier multiplication:
20 + 2x = 2(2 + -1x)
20 + 2x = (2 * 2 + -1x * 2)
20 + 2x = (4 + -2x)

Solving
20 + 2x = 4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
20 + 2x + 2x = 4 + -2x + 2x

Combine like terms: 2x + 2x = 4x
20 + 4x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
20 + 4x = 4 + 0
20 + 4x = 4

Add '-20' to each side of the equation.
20 + -20 + 4x = 4 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = 4 + -20
4x = 4 + -20

Combine like terms: 4 + -20 = -16
4x = -16

Divide each side by '4'.
x = -4

Simplifying
x = -4

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