-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 = -23x
15 + -23x = -15 + 20x + -20x

Combine like terms: 20x + -20x = 0
15 + -23x = -15 + 0
15 + -23x = -15

Add '-15' to each side of the equation.
15 + -15 + -23x = -15 + -15

Combine like terms: 15 + -15 = 0
0 + -23x = -15 + -15
-23x = -15 + -15

Combine like terms: -15 + -15 = -30
-23x = -30

Divide each side by '-23'.
x = 1.304347826

Simplifying
x = 1.304347826

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