12-2(x-5)=-13+3x

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Solution for 12-2(x-5)=-13+3x equation: 


Simplifying
12 + -2(x + -5) = -13 + 3x

Reorder the terms:
12 + -2(-5 + x) = -13 + 3x
12 + (-5 * -2 + x * -2) = -13 + 3x
12 + (10 + -2x) = -13 + 3x

Combine like terms: 12 + 10 = 22
22 + -2x = -13 + 3x

Solving
22 + -2x = -13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
22 + -2x + -3x = -13 + 3x + -3x

Combine like terms: -2x + -3x = -5x
22 + -5x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + -5x = -13 + 0
22 + -5x = -13

Add '-22' to each side of the equation.
22 + -22 + -5x = -13 + -22

Combine like terms: 22 + -22 = 0
0 + -5x = -13 + -22
-5x = -13 + -22

Combine like terms: -13 + -22 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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