0.10(x+80)+0.20=8+0.30x

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Solution for 0.10(x+80)+0.20=8+0.30x equation: 


Simplifying
0.10(x + 80) + 0.20 = 8 + 0.30x

Reorder the terms:
0.10(80 + x) + 0.20 = 8 + 0.30x
(80 * 0.10 + x * 0.10) + 0.20 = 8 + 0.30x
(8 + 0.10x) + 0.20 = 8 + 0.30x

Reorder the terms:
8 + 0.20 + 0.10x = 8 + 0.30x

Combine like terms: 8 + 0.20 = 8.2
8.2 + 0.10x = 8 + 0.30x

Solving
8.2 + 0.10x = 8 + 0.30x

Solving for variable 'x'.

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

Add '-0.30x' to each side of the equation.
8.2 + 0.10x + -0.30x = 8 + 0.30x + -0.30x

Combine like terms: 0.10x + -0.30x = -0.2x
8.2 + -0.2x = 8 + 0.30x + -0.30x

Combine like terms: 0.30x + -0.30x = 0.00
8.2 + -0.2x = 8 + 0.00
8.2 + -0.2x = 8

Add '-8.2' to each side of the equation.
8.2 + -8.2 + -0.2x = 8 + -8.2

Combine like terms: 8.2 + -8.2 = 0.0
0.0 + -0.2x = 8 + -8.2
-0.2x = 8 + -8.2

Combine like terms: 8 + -8.2 = -0.2
-0.2x = -0.2

Divide each side by '-0.2'.
x = 1

Simplifying
x = 1

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