12(x+5)=-3(x-30)

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Solution for 12(x+5)=-3(x-30) equation: 


Simplifying
12(x + 5) = -3(x + -30)

Reorder the terms:
12(5 + x) = -3(x + -30)
(5 * 12 + x * 12) = -3(x + -30)
(60 + 12x) = -3(x + -30)

Reorder the terms:
60 + 12x = -3(-30 + x)
60 + 12x = (-30 * -3 + x * -3)
60 + 12x = (90 + -3x)

Solving
60 + 12x = 90 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
60 + 12x + 3x = 90 + -3x + 3x

Combine like terms: 12x + 3x = 15x
60 + 15x = 90 + -3x + 3x

Combine like terms: -3x + 3x = 0
60 + 15x = 90 + 0
60 + 15x = 90

Add '-60' to each side of the equation.
60 + -60 + 15x = 90 + -60

Combine like terms: 60 + -60 = 0
0 + 15x = 90 + -60
15x = 90 + -60

Combine like terms: 90 + -60 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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