.25(12x-12)=1.5(8-3x)

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Solution for .25(12x-12)=1.5(8-3x) equation:


Simplifying
0.25(12x + -12) = 1.5(8 + -3x)

Reorder the terms:
0.25(-12 + 12x) = 1.5(8 + -3x)
(-12 * 0.25 + 12x * 0.25) = 1.5(8 + -3x)
(-3 + 3x) = 1.5(8 + -3x)
-3 + 3x = (8 * 1.5 + -3x * 1.5)
-3 + 3x = (12 + -4.5x)

Solving
-3 + 3x = 12 + -4.5x

Solving for variable 'x'.

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

Add '4.5x' to each side of the equation.
-3 + 3x + 4.5x = 12 + -4.5x + 4.5x

Combine like terms: 3x + 4.5x = 7.5x
-3 + 7.5x = 12 + -4.5x + 4.5x

Combine like terms: -4.5x + 4.5x = 0.0
-3 + 7.5x = 12 + 0.0
-3 + 7.5x = 12

Add '3' to each side of the equation.
-3 + 3 + 7.5x = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 7.5x = 12 + 3
7.5x = 12 + 3

Combine like terms: 12 + 3 = 15
7.5x = 15

Divide each side by '7.5'.
x = 2

Simplifying
x = 2

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