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

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


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

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

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

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

Combine like terms: 0.1 + 20 = 20.1
20.1 + -5 + 5x = 0.25(2x + 8)

Combine like terms: 20.1 + -5 = 15.1
15.1 + 5x = 0.25(2x + 8)

Reorder the terms:
15.1 + 5x = 0.25(8 + 2x)
15.1 + 5x = (8 * 0.25 + 2x * 0.25)
15.1 + 5x = (2 + 0.5x)

Solving
15.1 + 5x = 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.
15.1 + 5x + -0.5x = 2 + 0.5x + -0.5x

Combine like terms: 5x + -0.5x = 4.5x
15.1 + 4.5x = 2 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
15.1 + 4.5x = 2 + 0.0
15.1 + 4.5x = 2

Add '-15.1' to each side of the equation.
15.1 + -15.1 + 4.5x = 2 + -15.1

Combine like terms: 15.1 + -15.1 = 0.0
0.0 + 4.5x = 2 + -15.1
4.5x = 2 + -15.1

Combine like terms: 2 + -15.1 = -13.1
4.5x = -13.1

Divide each side by '4.5'.
x = -2.911111111

Simplifying
x = -2.911111111

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