12(x+3)=-3(x-27)

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Solution for 12(x+3)=-3(x-27) equation: 


Simplifying
12(x + 3) = -3(x + -27)

Reorder the terms:
12(3 + x) = -3(x + -27)
(3 * 12 + x * 12) = -3(x + -27)
(36 + 12x) = -3(x + -27)

Reorder the terms:
36 + 12x = -3(-27 + x)
36 + 12x = (-27 * -3 + x * -3)
36 + 12x = (81 + -3x)

Solving
36 + 12x = 81 + -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.
36 + 12x + 3x = 81 + -3x + 3x

Combine like terms: 12x + 3x = 15x
36 + 15x = 81 + -3x + 3x

Combine like terms: -3x + 3x = 0
36 + 15x = 81 + 0
36 + 15x = 81

Add '-36' to each side of the equation.
36 + -36 + 15x = 81 + -36

Combine like terms: 36 + -36 = 0
0 + 15x = 81 + -36
15x = 81 + -36

Combine like terms: 81 + -36 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3

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