.6(3x+4)=3(2-3x)+18

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Solution for .6(3x+4)=3(2-3x)+18 equation: 


Simplifying
0.6(3x + 4) = 3(2 + -3x) + 18

Reorder the terms:
0.6(4 + 3x) = 3(2 + -3x) + 18
(4 * 0.6 + 3x * 0.6) = 3(2 + -3x) + 18
(2.4 + 1.8x) = 3(2 + -3x) + 18
2.4 + 1.8x = (2 * 3 + -3x * 3) + 18
2.4 + 1.8x = (6 + -9x) + 18

Reorder the terms:
2.4 + 1.8x = 6 + 18 + -9x

Combine like terms: 6 + 18 = 24
2.4 + 1.8x = 24 + -9x

Solving
2.4 + 1.8x = 24 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
2.4 + 1.8x + 9x = 24 + -9x + 9x

Combine like terms: 1.8x + 9x = 10.8x
2.4 + 10.8x = 24 + -9x + 9x

Combine like terms: -9x + 9x = 0
2.4 + 10.8x = 24 + 0
2.4 + 10.8x = 24

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 10.8x = 24 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 10.8x = 24 + -2.4
10.8x = 24 + -2.4

Combine like terms: 24 + -2.4 = 21.6
10.8x = 21.6

Divide each side by '10.8'.
x = 2

Simplifying
x = 2

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