x+2.5-0.5x=5-x

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Solution for x+2.5-0.5x=5-x equation: 


Simplifying
x + 2.5 + -0.5x = 5 + -1x

Reorder the terms:
2.5 + x + -0.5x = 5 + -1x

Combine like terms: x + -0.5x = 0.5x
2.5 + 0.5x = 5 + -1x

Solving
2.5 + 0.5x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2.5 + 0.5x + x = 5 + -1x + x

Combine like terms: 0.5x + x = 1.5x
2.5 + 1.5x = 5 + -1x + x

Combine like terms: -1x + x = 0
2.5 + 1.5x = 5 + 0
2.5 + 1.5x = 5

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 1.5x = 5 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 1.5x = 5 + -2.5
1.5x = 5 + -2.5

Combine like terms: 5 + -2.5 = 2.5
1.5x = 2.5

Divide each side by '1.5'.
x = 1.666666667

Simplifying
x = 1.666666667

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