3x-5(x-4)=-6+4x-16

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Solution for 3x-5(x-4)=-6+4x-16 equation: 


Simplifying
3x + -5(x + -4) = -6 + 4x + -16

Reorder the terms:
3x + -5(-4 + x) = -6 + 4x + -16
3x + (-4 * -5 + x * -5) = -6 + 4x + -16
3x + (20 + -5x) = -6 + 4x + -16

Reorder the terms:
20 + 3x + -5x = -6 + 4x + -16

Combine like terms: 3x + -5x = -2x
20 + -2x = -6 + 4x + -16

Reorder the terms:
20 + -2x = -6 + -16 + 4x

Combine like terms: -6 + -16 = -22
20 + -2x = -22 + 4x

Solving
20 + -2x = -22 + 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 + -2x + -4x = -22 + 4x + -4x

Combine like terms: -2x + -4x = -6x
20 + -6x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -6x = -22 + 0
20 + -6x = -22

Add '-20' to each side of the equation.
20 + -20 + -6x = -22 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = -22 + -20
-6x = -22 + -20

Combine like terms: -22 + -20 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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