2(x-1)=6(2x+2)

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


Simplifying
2(x + -1) = 6(2x + 2)

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

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

Solving
-2 + 2x = 12 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-2 + 2x + -12x = 12 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-2 + -10x = 12 + 12x + -12x

Combine like terms: 12x + -12x = 0
-2 + -10x = 12 + 0
-2 + -10x = 12

Add '2' to each side of the equation.
-2 + 2 + -10x = 12 + 2

Combine like terms: -2 + 2 = 0
0 + -10x = 12 + 2
-10x = 12 + 2

Combine like terms: 12 + 2 = 14
-10x = 14

Divide each side by '-10'.
x = -1.4

Simplifying
x = -1.4

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