-3(x-5)=5(-3-4x)

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


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

Reorder the terms:
-3(-5 + x) = 5(-3 + -4x)
(-5 * -3 + x * -3) = 5(-3 + -4x)
(15 + -3x) = 5(-3 + -4x)
15 + -3x = (-3 * 5 + -4x * 5)
15 + -3x = (-15 + -20x)

Solving
15 + -3x = -15 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
15 + -3x + 20x = -15 + -20x + 20x

Combine like terms: -3x + 20x = 17x
15 + 17x = -15 + -20x + 20x

Combine like terms: -20x + 20x = 0
15 + 17x = -15 + 0
15 + 17x = -15

Add '-15' to each side of the equation.
15 + -15 + 17x = -15 + -15

Combine like terms: 15 + -15 = 0
0 + 17x = -15 + -15
17x = -15 + -15

Combine like terms: -15 + -15 = -30
17x = -30

Divide each side by '17'.
x = -1.764705882

Simplifying
x = -1.764705882

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