.25(2x-12)=.6(3x+9)

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Solution for .25(2x-12)=.6(3x+9) equation: 


Simplifying
0.25(2x + -12) = 0.6(3x + 9)

Reorder the terms:
0.25(-12 + 2x) = 0.6(3x + 9)
(-12 * 0.25 + 2x * 0.25) = 0.6(3x + 9)
(-3 + 0.5x) = 0.6(3x + 9)

Reorder the terms:
-3 + 0.5x = 0.6(9 + 3x)
-3 + 0.5x = (9 * 0.6 + 3x * 0.6)
-3 + 0.5x = (5.4 + 1.8x)

Solving
-3 + 0.5x = 5.4 + 1.8x

Solving for variable 'x'.

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

Add '-1.8x' to each side of the equation.
-3 + 0.5x + -1.8x = 5.4 + 1.8x + -1.8x

Combine like terms: 0.5x + -1.8x = -1.3x
-3 + -1.3x = 5.4 + 1.8x + -1.8x

Combine like terms: 1.8x + -1.8x = 0.0
-3 + -1.3x = 5.4 + 0.0
-3 + -1.3x = 5.4

Add '3' to each side of the equation.
-3 + 3 + -1.3x = 5.4 + 3

Combine like terms: -3 + 3 = 0
0 + -1.3x = 5.4 + 3
-1.3x = 5.4 + 3

Combine like terms: 5.4 + 3 = 8.4
-1.3x = 8.4

Divide each side by '-1.3'.
x = -6.461538462

Simplifying
x = -6.461538462

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