0.2(x+50)-6=0.9(3x+20)

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Solution for 0.2(x+50)-6=0.9(3x+20) equation: 


Simplifying
0.2(x + 50) + -6 = 0.9(3x + 20)

Reorder the terms:
0.2(50 + x) + -6 = 0.9(3x + 20)
(50 * 0.2 + x * 0.2) + -6 = 0.9(3x + 20)
(10 + 0.2x) + -6 = 0.9(3x + 20)

Reorder the terms:
10 + -6 + 0.2x = 0.9(3x + 20)

Combine like terms: 10 + -6 = 4
4 + 0.2x = 0.9(3x + 20)

Reorder the terms:
4 + 0.2x = 0.9(20 + 3x)
4 + 0.2x = (20 * 0.9 + 3x * 0.9)
4 + 0.2x = (18 + 2.7x)

Solving
4 + 0.2x = 18 + 2.7x

Solving for variable 'x'.

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

Add '-2.7x' to each side of the equation.
4 + 0.2x + -2.7x = 18 + 2.7x + -2.7x

Combine like terms: 0.2x + -2.7x = -2.5x
4 + -2.5x = 18 + 2.7x + -2.7x

Combine like terms: 2.7x + -2.7x = 0.0
4 + -2.5x = 18 + 0.0
4 + -2.5x = 18

Add '-4' to each side of the equation.
4 + -4 + -2.5x = 18 + -4

Combine like terms: 4 + -4 = 0
0 + -2.5x = 18 + -4
-2.5x = 18 + -4

Combine like terms: 18 + -4 = 14
-2.5x = 14

Divide each side by '-2.5'.
x = -5.6

Simplifying
x = -5.6

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