2(3x-4)+6x=10x-12

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Solution for 2(3x-4)+6x=10x-12 equation:


Simplifying
2(3x + -4) + 6x = 10x + -12

Reorder the terms:
2(-4 + 3x) + 6x = 10x + -12
(-4 * 2 + 3x * 2) + 6x = 10x + -12
(-8 + 6x) + 6x = 10x + -12

Combine like terms: 6x + 6x = 12x
-8 + 12x = 10x + -12

Reorder the terms:
-8 + 12x = -12 + 10x

Solving
-8 + 12x = -12 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-8 + 12x + -10x = -12 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-8 + 2x = -12 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8 + 2x = -12 + 0
-8 + 2x = -12

Add '8' to each side of the equation.
-8 + 8 + 2x = -12 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = -12 + 8
2x = -12 + 8

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

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

Simplifying
x = -2

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