5x-(x-6)+10=2x+12-2x

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Solution for 5x-(x-6)+10=2x+12-2x equation:


Simplifying
5x + -1(x + -6) + 10 = 2x + 12 + -2x

Reorder the terms:
5x + -1(-6 + x) + 10 = 2x + 12 + -2x
5x + (-6 * -1 + x * -1) + 10 = 2x + 12 + -2x
5x + (6 + -1x) + 10 = 2x + 12 + -2x

Reorder the terms:
6 + 10 + 5x + -1x = 2x + 12 + -2x

Combine like terms: 6 + 10 = 16
16 + 5x + -1x = 2x + 12 + -2x

Combine like terms: 5x + -1x = 4x
16 + 4x = 2x + 12 + -2x

Reorder the terms:
16 + 4x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 4x = 12 + 0
16 + 4x = 12

Solving
16 + 4x = 12

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 4x = 12 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 12 + -16
4x = 12 + -16

Combine like terms: 12 + -16 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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