3x-5(x-4)=-2+3x-8

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Solution for 3x-5(x-4)=-2+3x-8 equation: 


Simplifying
3x + -5(x + -4) = -2 + 3x + -8

Reorder the terms:
3x + -5(-4 + x) = -2 + 3x + -8
3x + (-4 * -5 + x * -5) = -2 + 3x + -8
3x + (20 + -5x) = -2 + 3x + -8

Reorder the terms:
20 + 3x + -5x = -2 + 3x + -8

Combine like terms: 3x + -5x = -2x
20 + -2x = -2 + 3x + -8

Reorder the terms:
20 + -2x = -2 + -8 + 3x

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

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

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

Combine like terms: 3x + -3x = 0
20 + -5x = -10 + 0
20 + -5x = -10

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

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

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

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

Simplifying
x = 6

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