.3(12x-16)=.4(12-3x)

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Solution for .3(12x-16)=.4(12-3x) equation: 


Simplifying
0.3(12x + -16) = 0.4(12 + -3x)

Reorder the terms:
0.3(-16 + 12x) = 0.4(12 + -3x)
(-16 * 0.3 + 12x * 0.3) = 0.4(12 + -3x)
(-4.8 + 3.6x) = 0.4(12 + -3x)
-4.8 + 3.6x = (12 * 0.4 + -3x * 0.4)
-4.8 + 3.6x = (4.8 + -1.2x)

Solving
-4.8 + 3.6x = 4.8 + -1.2x

Solving for variable 'x'.

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

Add '1.2x' to each side of the equation.
-4.8 + 3.6x + 1.2x = 4.8 + -1.2x + 1.2x

Combine like terms: 3.6x + 1.2x = 4.8x
-4.8 + 4.8x = 4.8 + -1.2x + 1.2x

Combine like terms: -1.2x + 1.2x = 0.0
-4.8 + 4.8x = 4.8 + 0.0
-4.8 + 4.8x = 4.8

Add '4.8' to each side of the equation.
-4.8 + 4.8 + 4.8x = 4.8 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + 4.8x = 4.8 + 4.8
4.8x = 4.8 + 4.8

Combine like terms: 4.8 + 4.8 = 9.6
4.8x = 9.6

Divide each side by '4.8'.
x = 2

Simplifying
x = 2

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