-13+2x=5(6x-3)+2

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Solution for -13+2x=5(6x-3)+2 equation:


Simplifying
-13 + 2x = 5(6x + -3) + 2

Reorder the terms:
-13 + 2x = 5(-3 + 6x) + 2
-13 + 2x = (-3 * 5 + 6x * 5) + 2
-13 + 2x = (-15 + 30x) + 2

Reorder the terms:
-13 + 2x = -15 + 2 + 30x

Combine like terms: -15 + 2 = -13
-13 + 2x = -13 + 30x

Add '13' to each side of the equation.
-13 + 13 + 2x = -13 + 13 + 30x

Combine like terms: -13 + 13 = 0
0 + 2x = -13 + 13 + 30x
2x = -13 + 13 + 30x

Combine like terms: -13 + 13 = 0
2x = 0 + 30x
2x = 30x

Solving
2x = 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
2x + -30x = 30x + -30x

Combine like terms: 2x + -30x = -28x
-28x = 30x + -30x

Combine like terms: 30x + -30x = 0
-28x = 0

Divide each side by '-28'.
x = 0

Simplifying
x = 0

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