3(4-3x)=12(-1x+2)

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Solution for 3(4-3x)=12(-1x+2) equation: 


Simplifying
3(4 + -3x) = 12(-1x + 2)
(4 * 3 + -3x * 3) = 12(-1x + 2)
(12 + -9x) = 12(-1x + 2)

Reorder the terms:
12 + -9x = 12(2 + -1x)
12 + -9x = (2 * 12 + -1x * 12)
12 + -9x = (24 + -12x)

Solving
12 + -9x = 24 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
12 + -9x + 12x = 24 + -12x + 12x

Combine like terms: -9x + 12x = 3x
12 + 3x = 24 + -12x + 12x

Combine like terms: -12x + 12x = 0
12 + 3x = 24 + 0
12 + 3x = 24

Add '-12' to each side of the equation.
12 + -12 + 3x = 24 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 24 + -12
3x = 24 + -12

Combine like terms: 24 + -12 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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