.08x+28.3=.5x-9.5

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Solution for .08x+28.3=.5x-9.5 equation: 


Simplifying
0.08x + 28.3 = 0.5x + -9.5

Reorder the terms:
28.3 + 0.08x = 0.5x + -9.5

Reorder the terms:
28.3 + 0.08x = -9.5 + 0.5x

Solving
28.3 + 0.08x = -9.5 + 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.
28.3 + 0.08x + -0.5x = -9.5 + 0.5x + -0.5x

Combine like terms: 0.08x + -0.5x = -0.42x
28.3 + -0.42x = -9.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
28.3 + -0.42x = -9.5 + 0.0
28.3 + -0.42x = -9.5

Add '-28.3' to each side of the equation.
28.3 + -28.3 + -0.42x = -9.5 + -28.3

Combine like terms: 28.3 + -28.3 = 0.0
0.0 + -0.42x = -9.5 + -28.3
-0.42x = -9.5 + -28.3

Combine like terms: -9.5 + -28.3 = -37.8
-0.42x = -37.8

Divide each side by '-0.42'.
x = 90

Simplifying
x = 90

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