0.6(3x+18)=3x-9+2x

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Solution for 0.6(3x+18)=3x-9+2x equation: 


Simplifying
0.6(3x + 18) = 3x + -9 + 2x

Reorder the terms:
0.6(18 + 3x) = 3x + -9 + 2x
(18 * 0.6 + 3x * 0.6) = 3x + -9 + 2x
(10.8 + 1.8x) = 3x + -9 + 2x

Reorder the terms:
10.8 + 1.8x = -9 + 3x + 2x

Combine like terms: 3x + 2x = 5x
10.8 + 1.8x = -9 + 5x

Solving
10.8 + 1.8x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10.8 + 1.8x + -5x = -9 + 5x + -5x

Combine like terms: 1.8x + -5x = -3.2x
10.8 + -3.2x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
10.8 + -3.2x = -9 + 0
10.8 + -3.2x = -9

Add '-10.8' to each side of the equation.
10.8 + -10.8 + -3.2x = -9 + -10.8

Combine like terms: 10.8 + -10.8 = 0.0
0.0 + -3.2x = -9 + -10.8
-3.2x = -9 + -10.8

Combine like terms: -9 + -10.8 = -19.8
-3.2x = -19.8

Divide each side by '-3.2'.
x = 6.1875

Simplifying
x = 6.1875

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