0.5x+8=2.5x-10

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Solution for 0.5x+8=2.5x-10 equation:


Simplifying
0.5x + 8 = 2.5x + -10

Reorder the terms:
8 + 0.5x = 2.5x + -10

Reorder the terms:
8 + 0.5x = -10 + 2.5x

Solving
8 + 0.5x = -10 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
8 + 0.5x + -2.5x = -10 + 2.5x + -2.5x

Combine like terms: 0.5x + -2.5x = -2x
8 + -2x = -10 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
8 + -2x = -10 + 0.0
8 + -2x = -10

Add '-8' to each side of the equation.
8 + -8 + -2x = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -10 + -8
-2x = -10 + -8

Combine like terms: -10 + -8 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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