-5(3x-1)=-10(2x-5)

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Solution for -5(3x-1)=-10(2x-5) equation:


Simplifying
-5(3x + -1) = -10(2x + -5)

Reorder the terms:
-5(-1 + 3x) = -10(2x + -5)
(-1 * -5 + 3x * -5) = -10(2x + -5)
(5 + -15x) = -10(2x + -5)

Reorder the terms:
5 + -15x = -10(-5 + 2x)
5 + -15x = (-5 * -10 + 2x * -10)
5 + -15x = (50 + -20x)

Solving
5 + -15x = 50 + -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.
5 + -15x + 20x = 50 + -20x + 20x

Combine like terms: -15x + 20x = 5x
5 + 5x = 50 + -20x + 20x

Combine like terms: -20x + 20x = 0
5 + 5x = 50 + 0
5 + 5x = 50

Add '-5' to each side of the equation.
5 + -5 + 5x = 50 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 50 + -5
5x = 50 + -5

Combine like terms: 50 + -5 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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