12(x+3)=4(x-21)

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Solution for 12(x+3)=4(x-21) equation: 


Simplifying
12(x + 3) = 4(x + -21)

Reorder the terms:
12(3 + x) = 4(x + -21)
(3 * 12 + x * 12) = 4(x + -21)
(36 + 12x) = 4(x + -21)

Reorder the terms:
36 + 12x = 4(-21 + x)
36 + 12x = (-21 * 4 + x * 4)
36 + 12x = (-84 + 4x)

Solving
36 + 12x = -84 + 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 = -84 + 4x + -4x

Combine like terms: 12x + -4x = 8x
36 + 8x = -84 + 4x + -4x

Combine like terms: 4x + -4x = 0
36 + 8x = -84 + 0
36 + 8x = -84

Add '-36' to each side of the equation.
36 + -36 + 8x = -84 + -36

Combine like terms: 36 + -36 = 0
0 + 8x = -84 + -36
8x = -84 + -36

Combine like terms: -84 + -36 = -120
8x = -120

Divide each side by '8'.
x = -15

Simplifying
x = -15

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