(2x)-3(3x-5)=12x-180

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Solution for (2x)-3(3x-5)=12x-180 equation:


Simplifying
(2x) + -3(3x + -5) = 12x + -180

Reorder the terms:
(2x) + -3(-5 + 3x) = 12x + -180
(2x) + (-5 * -3 + 3x * -3) = 12x + -180
(2x) + (15 + -9x) = 12x + -180

Reorder the terms:
15 + (2x) + -9x = 12x + -180

Combine like terms: (2x) + -9x = -7x
15 + -7x = 12x + -180

Reorder the terms:
15 + -7x = -180 + 12x

Solving
15 + -7x = -180 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
15 + -7x + -12x = -180 + 12x + -12x

Combine like terms: -7x + -12x = -19x
15 + -19x = -180 + 12x + -12x

Combine like terms: 12x + -12x = 0
15 + -19x = -180 + 0
15 + -19x = -180

Add '-15' to each side of the equation.
15 + -15 + -19x = -180 + -15

Combine like terms: 15 + -15 = 0
0 + -19x = -180 + -15
-19x = -180 + -15

Combine like terms: -180 + -15 = -195
-19x = -195

Divide each side by '-19'.
x = 10.26315789

Simplifying
x = 10.26315789

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