-12(x-1)=3(x+24)

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Solution for -12(x-1)=3(x+24) equation: 


Simplifying
-12(x + -1) = 3(x + 24)

Reorder the terms:
-12(-1 + x) = 3(x + 24)
(-1 * -12 + x * -12) = 3(x + 24)
(12 + -12x) = 3(x + 24)

Reorder the terms:
12 + -12x = 3(24 + x)
12 + -12x = (24 * 3 + x * 3)
12 + -12x = (72 + 3x)

Solving
12 + -12x = 72 + 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.
12 + -12x + -3x = 72 + 3x + -3x

Combine like terms: -12x + -3x = -15x
12 + -15x = 72 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -15x = 72 + 0
12 + -15x = 72

Add '-12' to each side of the equation.
12 + -12 + -15x = 72 + -12

Combine like terms: 12 + -12 = 0
0 + -15x = 72 + -12
-15x = 72 + -12

Combine like terms: 72 + -12 = 60
-15x = 60

Divide each side by '-15'.
x = -4

Simplifying
x = -4

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