.2(x+59)-6=.4(3x+20)

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Solution for .2(x+59)-6=.4(3x+20) equation: 


Simplifying
0.2(x + 59) + -6 = 0.4(3x + 20)

Reorder the terms:
0.2(59 + x) + -6 = 0.4(3x + 20)
(59 * 0.2 + x * 0.2) + -6 = 0.4(3x + 20)
(11.8 + 0.2x) + -6 = 0.4(3x + 20)

Reorder the terms:
11.8 + -6 + 0.2x = 0.4(3x + 20)

Combine like terms: 11.8 + -6 = 5.8
5.8 + 0.2x = 0.4(3x + 20)

Reorder the terms:
5.8 + 0.2x = 0.4(20 + 3x)
5.8 + 0.2x = (20 * 0.4 + 3x * 0.4)
5.8 + 0.2x = (8 + 1.2x)

Solving
5.8 + 0.2x = 8 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
5.8 + 0.2x + -1.2x = 8 + 1.2x + -1.2x

Combine like terms: 0.2x + -1.2x = -1x
5.8 + -1x = 8 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
5.8 + -1x = 8 + 0.0
5.8 + -1x = 8

Add '-5.8' to each side of the equation.
5.8 + -5.8 + -1x = 8 + -5.8

Combine like terms: 5.8 + -5.8 = 0.0
0.0 + -1x = 8 + -5.8
-1x = 8 + -5.8

Combine like terms: 8 + -5.8 = 2.2
-1x = 2.2

Divide each side by '-1'.
x = -2.2

Simplifying
x = -2.2

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