-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 = -16x
36 + -16x = -84 + 4x + -4x

Combine like terms: 4x + -4x = 0
36 + -16x = -84 + 0
36 + -16x = -84

Add '-36' to each side of the equation.
36 + -36 + -16x = -84 + -36

Combine like terms: 36 + -36 = 0
0 + -16x = -84 + -36
-16x = -84 + -36

Combine like terms: -84 + -36 = -120
-16x = -120

Divide each side by '-16'.
x = 7.5

Simplifying
x = 7.5

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