-5(1-3x)+5x=3(6x-5)

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Solution for -5(1-3x)+5x=3(6x-5) equation:


Simplifying
-5(1 + -3x) + 5x = 3(6x + -5)
(1 * -5 + -3x * -5) + 5x = 3(6x + -5)
(-5 + 15x) + 5x = 3(6x + -5)

Combine like terms: 15x + 5x = 20x
-5 + 20x = 3(6x + -5)

Reorder the terms:
-5 + 20x = 3(-5 + 6x)
-5 + 20x = (-5 * 3 + 6x * 3)
-5 + 20x = (-15 + 18x)

Solving
-5 + 20x = -15 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-5 + 20x + -18x = -15 + 18x + -18x

Combine like terms: 20x + -18x = 2x
-5 + 2x = -15 + 18x + -18x

Combine like terms: 18x + -18x = 0
-5 + 2x = -15 + 0
-5 + 2x = -15

Add '5' to each side of the equation.
-5 + 5 + 2x = -15 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = -15 + 5
2x = -15 + 5

Combine like terms: -15 + 5 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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