-20+5x=-4(3x-5)-6

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Solution for -20+5x=-4(3x-5)-6 equation:


Simplifying
-20 + 5x = -4(3x + -5) + -6

Reorder the terms:
-20 + 5x = -4(-5 + 3x) + -6
-20 + 5x = (-5 * -4 + 3x * -4) + -6
-20 + 5x = (20 + -12x) + -6

Reorder the terms:
-20 + 5x = 20 + -6 + -12x

Combine like terms: 20 + -6 = 14
-20 + 5x = 14 + -12x

Solving
-20 + 5x = 14 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-20 + 5x + 12x = 14 + -12x + 12x

Combine like terms: 5x + 12x = 17x
-20 + 17x = 14 + -12x + 12x

Combine like terms: -12x + 12x = 0
-20 + 17x = 14 + 0
-20 + 17x = 14

Add '20' to each side of the equation.
-20 + 20 + 17x = 14 + 20

Combine like terms: -20 + 20 = 0
0 + 17x = 14 + 20
17x = 14 + 20

Combine like terms: 14 + 20 = 34
17x = 34

Divide each side by '17'.
x = 2

Simplifying
x = 2

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