0.2(x+50)-6=0.4(3x)+20

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Solution for 0.2(x+50)-6=0.4(3x)+20 equation: 


Simplifying
0.2(x + 50) + -6 = 0.4(3x) + 20

Reorder the terms:
0.2(50 + x) + -6 = 0.4(3x) + 20
(50 * 0.2 + x * 0.2) + -6 = 0.4(3x) + 20
(10 + 0.2x) + -6 = 0.4(3x) + 20

Reorder the terms:
10 + -6 + 0.2x = 0.4(3x) + 20

Combine like terms: 10 + -6 = 4
4 + 0.2x = 0.4(3x) + 20

Remove parenthesis around (3x)
4 + 0.2x = 0.4 * 3x + 20

Multiply 0.4 * 3
4 + 0.2x = 1.2x + 20

Reorder the terms:
4 + 0.2x = 20 + 1.2x

Solving
4 + 0.2x = 20 + 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.
4 + 0.2x + -1.2x = 20 + 1.2x + -1.2x

Combine like terms: 0.2x + -1.2x = -1x
4 + -1x = 20 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
4 + -1x = 20 + 0.0
4 + -1x = 20

Add '-4' to each side of the equation.
4 + -4 + -1x = 20 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 20 + -4
-1x = 20 + -4

Combine like terms: 20 + -4 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

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