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

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Solution for 0.1(x+20)-5=0.25(2x+8) equation: 


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

Reorder the terms:
0.1(20 + x) + -5 = 0.25(2x + 8)
(20 * 0.1 + x * 0.1) + -5 = 0.25(2x + 8)
(2 + 0.1x) + -5 = 0.25(2x + 8)

Reorder the terms:
2 + -5 + 0.1x = 0.25(2x + 8)

Combine like terms: 2 + -5 = -3
-3 + 0.1x = 0.25(2x + 8)

Reorder the terms:
-3 + 0.1x = 0.25(8 + 2x)
-3 + 0.1x = (8 * 0.25 + 2x * 0.25)
-3 + 0.1x = (2 + 0.5x)

Solving
-3 + 0.1x = 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.
-3 + 0.1x + -0.5x = 2 + 0.5x + -0.5x

Combine like terms: 0.1x + -0.5x = -0.4x
-3 + -0.4x = 2 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-3 + -0.4x = 2 + 0.0
-3 + -0.4x = 2

Add '3' to each side of the equation.
-3 + 3 + -0.4x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + -0.4x = 2 + 3
-0.4x = 2 + 3

Combine like terms: 2 + 3 = 5
-0.4x = 5

Divide each side by '-0.4'.
x = -12.5

Simplifying
x = -12.5

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