12-2(3x-5)=2x-2

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Solution for 12-2(3x-5)=2x-2 equation:


Simplifying
12 + -2(3x + -5) = 2x + -2

Reorder the terms:
12 + -2(-5 + 3x) = 2x + -2
12 + (-5 * -2 + 3x * -2) = 2x + -2
12 + (10 + -6x) = 2x + -2

Combine like terms: 12 + 10 = 22
22 + -6x = 2x + -2

Reorder the terms:
22 + -6x = -2 + 2x

Solving
22 + -6x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
22 + -6x + -2x = -2 + 2x + -2x

Combine like terms: -6x + -2x = -8x
22 + -8x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 + -8x = -2 + 0
22 + -8x = -2

Add '-22' to each side of the equation.
22 + -22 + -8x = -2 + -22

Combine like terms: 22 + -22 = 0
0 + -8x = -2 + -22
-8x = -2 + -22

Combine like terms: -2 + -22 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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