5(x-2)-5=-3(-6x+3)-5x

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Solution for 5(x-2)-5=-3(-6x+3)-5x equation:


Simplifying
5(x + -2) + -5 = -3(-6x + 3) + -5x

Reorder the terms:
5(-2 + x) + -5 = -3(-6x + 3) + -5x
(-2 * 5 + x * 5) + -5 = -3(-6x + 3) + -5x
(-10 + 5x) + -5 = -3(-6x + 3) + -5x

Reorder the terms:
-10 + -5 + 5x = -3(-6x + 3) + -5x

Combine like terms: -10 + -5 = -15
-15 + 5x = -3(-6x + 3) + -5x

Reorder the terms:
-15 + 5x = -3(3 + -6x) + -5x
-15 + 5x = (3 * -3 + -6x * -3) + -5x
-15 + 5x = (-9 + 18x) + -5x

Combine like terms: 18x + -5x = 13x
-15 + 5x = -9 + 13x

Solving
-15 + 5x = -9 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-15 + 5x + -13x = -9 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-15 + -8x = -9 + 13x + -13x

Combine like terms: 13x + -13x = 0
-15 + -8x = -9 + 0
-15 + -8x = -9

Add '15' to each side of the equation.
-15 + 15 + -8x = -9 + 15

Combine like terms: -15 + 15 = 0
0 + -8x = -9 + 15
-8x = -9 + 15

Combine like terms: -9 + 15 = 6
-8x = 6

Divide each side by '-8'.
x = -0.75

Simplifying
x = -0.75

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