0.2(2x+9)=2(1-2x)+13

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Solution for 0.2(2x+9)=2(1-2x)+13 equation: 


Simplifying
0.2(2x + 9) = 2(1 + -2x) + 13

Reorder the terms:
0.2(9 + 2x) = 2(1 + -2x) + 13
(9 * 0.2 + 2x * 0.2) = 2(1 + -2x) + 13
(1.8 + 0.4x) = 2(1 + -2x) + 13
1.8 + 0.4x = (1 * 2 + -2x * 2) + 13
1.8 + 0.4x = (2 + -4x) + 13

Reorder the terms:
1.8 + 0.4x = 2 + 13 + -4x

Combine like terms: 2 + 13 = 15
1.8 + 0.4x = 15 + -4x

Solving
1.8 + 0.4x = 15 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
1.8 + 0.4x + 4x = 15 + -4x + 4x

Combine like terms: 0.4x + 4x = 4.4x
1.8 + 4.4x = 15 + -4x + 4x

Combine like terms: -4x + 4x = 0
1.8 + 4.4x = 15 + 0
1.8 + 4.4x = 15

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 4.4x = 15 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 4.4x = 15 + -1.8
4.4x = 15 + -1.8

Combine like terms: 15 + -1.8 = 13.2
4.4x = 13.2

Divide each side by '4.4'.
x = 3

Simplifying
x = 3

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