0.5+2.5x=-0.5x+30.5

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Solution for 0.5+2.5x=-0.5x+30.5 equation: 


Simplifying
0.5 + 2.5x = -0.5x + 30.5

Reorder the terms:
0.5 + 2.5x = 30.5 + -0.5x

Solving
0.5 + 2.5x = 30.5 + -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.
0.5 + 2.5x + 0.5x = 30.5 + -0.5x + 0.5x

Combine like terms: 2.5x + 0.5x = 3x
0.5 + 3x = 30.5 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
0.5 + 3x = 30.5 + 0.0
0.5 + 3x = 30.5

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 3x = 30.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 3x = 30.5 + -0.5
3x = 30.5 + -0.5

Combine like terms: 30.5 + -0.5 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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