3x-9=1.2(12-x)

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Solution for 3x-9=1.2(12-x) equation:


Simplifying
3x + -9 = 1.2(12 + -1x)

Reorder the terms:
-9 + 3x = 1.2(12 + -1x)
-9 + 3x = (12 * 1.2 + -1x * 1.2)
-9 + 3x = (14.4 + -1.2x)

Solving
-9 + 3x = 14.4 + -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.
-9 + 3x + 1.2x = 14.4 + -1.2x + 1.2x

Combine like terms: 3x + 1.2x = 4.2x
-9 + 4.2x = 14.4 + -1.2x + 1.2x

Combine like terms: -1.2x + 1.2x = 0.0
-9 + 4.2x = 14.4 + 0.0
-9 + 4.2x = 14.4

Add '9' to each side of the equation.
-9 + 9 + 4.2x = 14.4 + 9

Combine like terms: -9 + 9 = 0
0 + 4.2x = 14.4 + 9
4.2x = 14.4 + 9

Combine like terms: 14.4 + 9 = 23.4
4.2x = 23.4

Divide each side by '4.2'.
x = 5.571428571

Simplifying
x = 5.571428571

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