-3.3x+9.2=.5x-30.8

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Solution for -3.3x+9.2=.5x-30.8 equation: 


Simplifying
-3.3x + 9.2 = 0.5x + -30.8

Reorder the terms:
9.2 + -3.3x = 0.5x + -30.8

Reorder the terms:
9.2 + -3.3x = -30.8 + 0.5x

Solving
9.2 + -3.3x = -30.8 + 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.
9.2 + -3.3x + -0.5x = -30.8 + 0.5x + -0.5x

Combine like terms: -3.3x + -0.5x = -3.8x
9.2 + -3.8x = -30.8 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
9.2 + -3.8x = -30.8 + 0.0
9.2 + -3.8x = -30.8

Add '-9.2' to each side of the equation.
9.2 + -9.2 + -3.8x = -30.8 + -9.2

Combine like terms: 9.2 + -9.2 = 0.0
0.0 + -3.8x = -30.8 + -9.2
-3.8x = -30.8 + -9.2

Combine like terms: -30.8 + -9.2 = -40
-3.8x = -40

Divide each side by '-3.8'.
x = 10.52631579

Simplifying
x = 10.52631579

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