2(3x+6)=6x-10-2x

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Solution for 2(3x+6)=6x-10-2x equation:


Simplifying
2(3x + 6) = 6x + -10 + -2x

Reorder the terms:
2(6 + 3x) = 6x + -10 + -2x
(6 * 2 + 3x * 2) = 6x + -10 + -2x
(12 + 6x) = 6x + -10 + -2x

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

Combine like terms: 6x + -2x = 4x
12 + 6x = -10 + 4x

Solving
12 + 6x = -10 + 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.
12 + 6x + -4x = -10 + 4x + -4x

Combine like terms: 6x + -4x = 2x
12 + 2x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 2x = -10 + 0
12 + 2x = -10

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

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

Combine like terms: -10 + -12 = -22
2x = -22

Divide each side by '2'.
x = -11

Simplifying
x = -11

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