3x-5(x-4)=-6+3x-14

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Solution for 3x-5(x-4)=-6+3x-14 equation: 


Simplifying
3x + -5(x + -4) = -6 + 3x + -14

Reorder the terms:
3x + -5(-4 + x) = -6 + 3x + -14
3x + (-4 * -5 + x * -5) = -6 + 3x + -14
3x + (20 + -5x) = -6 + 3x + -14

Reorder the terms:
20 + 3x + -5x = -6 + 3x + -14

Combine like terms: 3x + -5x = -2x
20 + -2x = -6 + 3x + -14

Reorder the terms:
20 + -2x = -6 + -14 + 3x

Combine like terms: -6 + -14 = -20
20 + -2x = -20 + 3x

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

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

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

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

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

Combine like terms: -20 + -20 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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