5(x-4)-5=-2(-9x+8)-x

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Solution for 5(x-4)-5=-2(-9x+8)-x equation:


Simplifying
5(x + -4) + -5 = -2(-9x + 8) + -1x

Reorder the terms:
5(-4 + x) + -5 = -2(-9x + 8) + -1x
(-4 * 5 + x * 5) + -5 = -2(-9x + 8) + -1x
(-20 + 5x) + -5 = -2(-9x + 8) + -1x

Reorder the terms:
-20 + -5 + 5x = -2(-9x + 8) + -1x

Combine like terms: -20 + -5 = -25
-25 + 5x = -2(-9x + 8) + -1x

Reorder the terms:
-25 + 5x = -2(8 + -9x) + -1x
-25 + 5x = (8 * -2 + -9x * -2) + -1x
-25 + 5x = (-16 + 18x) + -1x

Combine like terms: 18x + -1x = 17x
-25 + 5x = -16 + 17x

Solving
-25 + 5x = -16 + 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.
-25 + 5x + -17x = -16 + 17x + -17x

Combine like terms: 5x + -17x = -12x
-25 + -12x = -16 + 17x + -17x

Combine like terms: 17x + -17x = 0
-25 + -12x = -16 + 0
-25 + -12x = -16

Add '25' to each side of the equation.
-25 + 25 + -12x = -16 + 25

Combine like terms: -25 + 25 = 0
0 + -12x = -16 + 25
-12x = -16 + 25

Combine like terms: -16 + 25 = 9
-12x = 9

Divide each side by '-12'.
x = -0.75

Simplifying
x = -0.75

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