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

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


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

Reorder the terms:
-2(1 + -3x) = 5(x + -3)
(1 * -2 + -3x * -2) = 5(x + -3)
(-2 + 6x) = 5(x + -3)

Reorder the terms:
-2 + 6x = 5(-3 + x)
-2 + 6x = (-3 * 5 + x * 5)
-2 + 6x = (-15 + 5x)

Solving
-2 + 6x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 6x + -5x = -15 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-2 + 1x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 1x = -15 + 0
-2 + 1x = -15

Add '2' to each side of the equation.
-2 + 2 + 1x = -15 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = -15 + 2
1x = -15 + 2

Combine like terms: -15 + 2 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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