0.4(3x+1)=3(3-2x)+13

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Solution for 0.4(3x+1)=3(3-2x)+13 equation: 


Simplifying
0.4(3x + 1) = 3(3 + -2x) + 13

Reorder the terms:
0.4(1 + 3x) = 3(3 + -2x) + 13
(1 * 0.4 + 3x * 0.4) = 3(3 + -2x) + 13
(0.4 + 1.2x) = 3(3 + -2x) + 13
0.4 + 1.2x = (3 * 3 + -2x * 3) + 13
0.4 + 1.2x = (9 + -6x) + 13

Reorder the terms:
0.4 + 1.2x = 9 + 13 + -6x

Combine like terms: 9 + 13 = 22
0.4 + 1.2x = 22 + -6x

Solving
0.4 + 1.2x = 22 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
0.4 + 1.2x + 6x = 22 + -6x + 6x

Combine like terms: 1.2x + 6x = 7.2x
0.4 + 7.2x = 22 + -6x + 6x

Combine like terms: -6x + 6x = 0
0.4 + 7.2x = 22 + 0
0.4 + 7.2x = 22

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 7.2x = 22 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 7.2x = 22 + -0.4
7.2x = 22 + -0.4

Combine like terms: 22 + -0.4 = 21.6
7.2x = 21.6

Divide each side by '7.2'.
x = 3

Simplifying
x = 3

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