12(x+3)=-4(x-5)

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Solution for 12(x+3)=-4(x-5) equation: 


Simplifying
12(x + 3) = -4(x + -5)

Reorder the terms:
12(3 + x) = -4(x + -5)
(3 * 12 + x * 12) = -4(x + -5)
(36 + 12x) = -4(x + -5)

Reorder the terms:
36 + 12x = -4(-5 + x)
36 + 12x = (-5 * -4 + x * -4)
36 + 12x = (20 + -4x)

Solving
36 + 12x = 20 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
36 + 12x + 4x = 20 + -4x + 4x

Combine like terms: 12x + 4x = 16x
36 + 16x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
36 + 16x = 20 + 0
36 + 16x = 20

Add '-36' to each side of the equation.
36 + -36 + 16x = 20 + -36

Combine like terms: 36 + -36 = 0
0 + 16x = 20 + -36
16x = 20 + -36

Combine like terms: 20 + -36 = -16
16x = -16

Divide each side by '16'.
x = -1

Simplifying
x = -1

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