2x-5(x-4)=-3+4x-12

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Solution for 2x-5(x-4)=-3+4x-12 equation: 


Simplifying
2x + -5(x + -4) = -3 + 4x + -12

Reorder the terms:
2x + -5(-4 + x) = -3 + 4x + -12
2x + (-4 * -5 + x * -5) = -3 + 4x + -12
2x + (20 + -5x) = -3 + 4x + -12

Reorder the terms:
20 + 2x + -5x = -3 + 4x + -12

Combine like terms: 2x + -5x = -3x
20 + -3x = -3 + 4x + -12

Reorder the terms:
20 + -3x = -3 + -12 + 4x

Combine like terms: -3 + -12 = -15
20 + -3x = -15 + 4x

Solving
20 + -3x = -15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
20 + -3x + -4x = -15 + 4x + -4x

Combine like terms: -3x + -4x = -7x
20 + -7x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 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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