3(x-4)-8=-5(-5x+2)-8x

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Solution for 3(x-4)-8=-5(-5x+2)-8x equation:


Simplifying
3(x + -4) + -8 = -5(-5x + 2) + -8x

Reorder the terms:
3(-4 + x) + -8 = -5(-5x + 2) + -8x
(-4 * 3 + x * 3) + -8 = -5(-5x + 2) + -8x
(-12 + 3x) + -8 = -5(-5x + 2) + -8x

Reorder the terms:
-12 + -8 + 3x = -5(-5x + 2) + -8x

Combine like terms: -12 + -8 = -20
-20 + 3x = -5(-5x + 2) + -8x

Reorder the terms:
-20 + 3x = -5(2 + -5x) + -8x
-20 + 3x = (2 * -5 + -5x * -5) + -8x
-20 + 3x = (-10 + 25x) + -8x

Combine like terms: 25x + -8x = 17x
-20 + 3x = -10 + 17x

Solving
-20 + 3x = -10 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-20 + 3x + -17x = -10 + 17x + -17x

Combine like terms: 3x + -17x = -14x
-20 + -14x = -10 + 17x + -17x

Combine like terms: 17x + -17x = 0
-20 + -14x = -10 + 0
-20 + -14x = -10

Add '20' to each side of the equation.
-20 + 20 + -14x = -10 + 20

Combine like terms: -20 + 20 = 0
0 + -14x = -10 + 20
-14x = -10 + 20

Combine like terms: -10 + 20 = 10
-14x = 10

Divide each side by '-14'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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