0.2(5x+20)-5=0.25(2x+8)

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Solution for 0.2(5x+20)-5=0.25(2x+8) equation: 


Simplifying
0.2(5x + 20) + -5 = 0.25(2x + 8)

Reorder the terms:
0.2(20 + 5x) + -5 = 0.25(2x + 8)
(20 * 0.2 + 5x * 0.2) + -5 = 0.25(2x + 8)
(4 + 1x) + -5 = 0.25(2x + 8)

Reorder the terms:
4 + -5 + 1x = 0.25(2x + 8)

Combine like terms: 4 + -5 = -1
-1 + 1x = 0.25(2x + 8)

Reorder the terms:
-1 + 1x = 0.25(8 + 2x)
-1 + 1x = (8 * 0.25 + 2x * 0.25)
-1 + 1x = (2 + 0.5x)

Solving
-1 + 1x = 2 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-1 + 1x + -0.5x = 2 + 0.5x + -0.5x

Combine like terms: 1x + -0.5x = 0.5x
-1 + 0.5x = 2 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-1 + 0.5x = 2 + 0.0
-1 + 0.5x = 2

Add '1' to each side of the equation.
-1 + 1 + 0.5x = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 0.5x = 2 + 1
0.5x = 2 + 1

Combine like terms: 2 + 1 = 3
0.5x = 3

Divide each side by '0.5'.
x = 6

Simplifying
x = 6

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