3x-5(x-4)=-3+5x-12

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Solution for 3x-5(x-4)=-3+5x-12 equation: 


Simplifying
3x + -5(x + -4) = -3 + 5x + -12

Reorder the terms:
3x + -5(-4 + x) = -3 + 5x + -12
3x + (-4 * -5 + x * -5) = -3 + 5x + -12
3x + (20 + -5x) = -3 + 5x + -12

Reorder the terms:
20 + 3x + -5x = -3 + 5x + -12

Combine like terms: 3x + -5x = -2x
20 + -2x = -3 + 5x + -12

Reorder the terms:
20 + -2x = -3 + -12 + 5x

Combine like terms: -3 + -12 = -15
20 + -2x = -15 + 5x

Solving
20 + -2x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
20 + -2x + -5x = -15 + 5x + -5x

Combine like terms: -2x + -5x = -7x
20 + -7x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -7x = -15 + 0
20 + -7x = -15

Add '-20' to each side of the equation.
20 + -20 + -7x = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -15 + -20
-7x = -15 + -20

Combine like terms: -15 + -20 = -35
-7x = -35

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

Simplifying
x = 5

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