2(x+6)-10=12+4(x-1)

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Solution for 2(x+6)-10=12+4(x-1) equation: 


Simplifying
2(x + 6) + -10 = 12 + 4(x + -1)

Reorder the terms:
2(6 + x) + -10 = 12 + 4(x + -1)
(6 * 2 + x * 2) + -10 = 12 + 4(x + -1)
(12 + 2x) + -10 = 12 + 4(x + -1)

Reorder the terms:
12 + -10 + 2x = 12 + 4(x + -1)

Combine like terms: 12 + -10 = 2
2 + 2x = 12 + 4(x + -1)

Reorder the terms:
2 + 2x = 12 + 4(-1 + x)
2 + 2x = 12 + (-1 * 4 + x * 4)
2 + 2x = 12 + (-4 + 4x)

Combine like terms: 12 + -4 = 8
2 + 2x = 8 + 4x

Solving
2 + 2x = 8 + 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.
2 + 2x + -4x = 8 + 4x + -4x

Combine like terms: 2x + -4x = -2x
2 + -2x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -2x = 8 + 0
2 + -2x = 8

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

Combine like terms: 2 + -2 = 0
0 + -2x = 8 + -2
-2x = 8 + -2

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

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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