.2(3x+9)=4(1-2x)+15

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Solution for .2(3x+9)=4(1-2x)+15 equation: 


Simplifying
0.2(3x + 9) = 4(1 + -2x) + 15

Reorder the terms:
0.2(9 + 3x) = 4(1 + -2x) + 15
(9 * 0.2 + 3x * 0.2) = 4(1 + -2x) + 15
(1.8 + 0.6x) = 4(1 + -2x) + 15
1.8 + 0.6x = (1 * 4 + -2x * 4) + 15
1.8 + 0.6x = (4 + -8x) + 15

Reorder the terms:
1.8 + 0.6x = 4 + 15 + -8x

Combine like terms: 4 + 15 = 19
1.8 + 0.6x = 19 + -8x

Solving
1.8 + 0.6x = 19 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
1.8 + 0.6x + 8x = 19 + -8x + 8x

Combine like terms: 0.6x + 8x = 8.6x
1.8 + 8.6x = 19 + -8x + 8x

Combine like terms: -8x + 8x = 0
1.8 + 8.6x = 19 + 0
1.8 + 8.6x = 19

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 8.6x = 19 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 8.6x = 19 + -1.8
8.6x = 19 + -1.8

Combine like terms: 19 + -1.8 = 17.2
8.6x = 17.2

Divide each side by '8.6'.
x = 2

Simplifying
x = 2

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