-5(3x-27)=2(x-28)-15

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Solution for -5(3x-27)=2(x-28)-15 equation:


Simplifying
-5(3x + -27) = 2(x + -28) + -15

Reorder the terms:
-5(-27 + 3x) = 2(x + -28) + -15
(-27 * -5 + 3x * -5) = 2(x + -28) + -15
(135 + -15x) = 2(x + -28) + -15

Reorder the terms:
135 + -15x = 2(-28 + x) + -15
135 + -15x = (-28 * 2 + x * 2) + -15
135 + -15x = (-56 + 2x) + -15

Reorder the terms:
135 + -15x = -56 + -15 + 2x

Combine like terms: -56 + -15 = -71
135 + -15x = -71 + 2x

Solving
135 + -15x = -71 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
135 + -15x + -2x = -71 + 2x + -2x

Combine like terms: -15x + -2x = -17x
135 + -17x = -71 + 2x + -2x

Combine like terms: 2x + -2x = 0
135 + -17x = -71 + 0
135 + -17x = -71

Add '-135' to each side of the equation.
135 + -135 + -17x = -71 + -135

Combine like terms: 135 + -135 = 0
0 + -17x = -71 + -135
-17x = -71 + -135

Combine like terms: -71 + -135 = -206
-17x = -206

Divide each side by '-17'.
x = 12.11764706

Simplifying
x = 12.11764706

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