x+2.5=0.5x-0.5

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


Simplifying
x + 2.5 = 0.5x + -0.5

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

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

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

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

Combine like terms: 0.5x + -0.5x = 0.0
2.5 + 0.5x = -0.5 + 0.0
2.5 + 0.5x = -0.5

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

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.5x = -0.5 + -2.5
0.5x = -0.5 + -2.5

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

Divide each side by '0.5'.
x = -6

Simplifying
x = -6

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