12(x-1)=-4(3-x)

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Solution for 12(x-1)=-4(3-x) equation:


Simplifying
12(x + -1) = -4(3 + -1x)

Reorder the terms:
12(-1 + x) = -4(3 + -1x)
(-1 * 12 + x * 12) = -4(3 + -1x)
(-12 + 12x) = -4(3 + -1x)
-12 + 12x = (3 * -4 + -1x * -4)
-12 + 12x = (-12 + 4x)

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

Combine like terms: -12 + 12 = 0
0 + 12x = -12 + 12 + 4x
12x = -12 + 12 + 4x

Combine like terms: -12 + 12 = 0
12x = 0 + 4x
12x = 4x

Solving
12x = 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.
12x + -4x = 4x + -4x

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

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

Divide each side by '8'.
x = 0

Simplifying
x = 0

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