5(x-3)-4=-5(-5x+7)-8x

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Solution for 5(x-3)-4=-5(-5x+7)-8x equation:


Simplifying
5(x + -3) + -4 = -5(-5x + 7) + -8x

Reorder the terms:
5(-3 + x) + -4 = -5(-5x + 7) + -8x
(-3 * 5 + x * 5) + -4 = -5(-5x + 7) + -8x
(-15 + 5x) + -4 = -5(-5x + 7) + -8x

Reorder the terms:
-15 + -4 + 5x = -5(-5x + 7) + -8x

Combine like terms: -15 + -4 = -19
-19 + 5x = -5(-5x + 7) + -8x

Reorder the terms:
-19 + 5x = -5(7 + -5x) + -8x
-19 + 5x = (7 * -5 + -5x * -5) + -8x
-19 + 5x = (-35 + 25x) + -8x

Combine like terms: 25x + -8x = 17x
-19 + 5x = -35 + 17x

Solving
-19 + 5x = -35 + 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.
-19 + 5x + -17x = -35 + 17x + -17x

Combine like terms: 5x + -17x = -12x
-19 + -12x = -35 + 17x + -17x

Combine like terms: 17x + -17x = 0
-19 + -12x = -35 + 0
-19 + -12x = -35

Add '19' to each side of the equation.
-19 + 19 + -12x = -35 + 19

Combine like terms: -19 + 19 = 0
0 + -12x = -35 + 19
-12x = -35 + 19

Combine like terms: -35 + 19 = -16
-12x = -16

Divide each side by '-12'.
x = 1.333333333

Simplifying
x = 1.333333333

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