137=5x+6(-3x+12)

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Solution for 137=5x+6(-3x+12) equation:


Simplifying
137 = 5x + 6(-3x + 12)

Reorder the terms:
137 = 5x + 6(12 + -3x)
137 = 5x + (12 * 6 + -3x * 6)
137 = 5x + (72 + -18x)

Reorder the terms:
137 = 72 + 5x + -18x

Combine like terms: 5x + -18x = -13x
137 = 72 + -13x

Solving
137 = 72 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
137 + 13x = 72 + -13x + 13x

Combine like terms: -13x + 13x = 0
137 + 13x = 72 + 0
137 + 13x = 72

Add '-137' to each side of the equation.
137 + -137 + 13x = 72 + -137

Combine like terms: 137 + -137 = 0
0 + 13x = 72 + -137
13x = 72 + -137

Combine like terms: 72 + -137 = -65
13x = -65

Divide each side by '13'.
x = -5

Simplifying
x = -5

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