0.2(x+50)-6=0.4(4x+20)

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Solution for 0.2(x+50)-6=0.4(4x+20) equation: 


Simplifying
0.2(x + 50) + -6 = 0.4(4x + 20)

Reorder the terms:
0.2(50 + x) + -6 = 0.4(4x + 20)
(50 * 0.2 + x * 0.2) + -6 = 0.4(4x + 20)
(10 + 0.2x) + -6 = 0.4(4x + 20)

Reorder the terms:
10 + -6 + 0.2x = 0.4(4x + 20)

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

Reorder the terms:
4 + 0.2x = 0.4(20 + 4x)
4 + 0.2x = (20 * 0.4 + 4x * 0.4)
4 + 0.2x = (8 + 1.6x)

Solving
4 + 0.2x = 8 + 1.6x

Solving for variable 'x'.

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

Add '-1.6x' to each side of the equation.
4 + 0.2x + -1.6x = 8 + 1.6x + -1.6x

Combine like terms: 0.2x + -1.6x = -1.4x
4 + -1.4x = 8 + 1.6x + -1.6x

Combine like terms: 1.6x + -1.6x = 0.0
4 + -1.4x = 8 + 0.0
4 + -1.4x = 8

Add '-4' to each side of the equation.
4 + -4 + -1.4x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -1.4x = 8 + -4
-1.4x = 8 + -4

Combine like terms: 8 + -4 = 4
-1.4x = 4

Divide each side by '-1.4'.
x = -2.857142857

Simplifying
x = -2.857142857

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