2x-5(x-2)=-8+2x-12

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Solution for 2x-5(x-2)=-8+2x-12 equation: 


Simplifying
2x + -5(x + -2) = -8 + 2x + -12

Reorder the terms:
2x + -5(-2 + x) = -8 + 2x + -12
2x + (-2 * -5 + x * -5) = -8 + 2x + -12
2x + (10 + -5x) = -8 + 2x + -12

Reorder the terms:
10 + 2x + -5x = -8 + 2x + -12

Combine like terms: 2x + -5x = -3x
10 + -3x = -8 + 2x + -12

Reorder the terms:
10 + -3x = -8 + -12 + 2x

Combine like terms: -8 + -12 = -20
10 + -3x = -20 + 2x

Solving
10 + -3x = -20 + 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.
10 + -3x + -2x = -20 + 2x + -2x

Combine like terms: -3x + -2x = -5x
10 + -5x = -20 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -5x = -20 + 0
10 + -5x = -20

Add '-10' to each side of the equation.
10 + -10 + -5x = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = -20 + -10
-5x = -20 + -10

Combine like terms: -20 + -10 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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