3x-5=2.5x+0.5

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Solution for 3x-5=2.5x+0.5 equation:


Simplifying
3x + -5 = 2.5x + 0.5

Reorder the terms:
-5 + 3x = 2.5x + 0.5

Reorder the terms:
-5 + 3x = 0.5 + 2.5x

Solving
-5 + 3x = 0.5 + 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.
-5 + 3x + -2.5x = 0.5 + 2.5x + -2.5x

Combine like terms: 3x + -2.5x = 0.5x
-5 + 0.5x = 0.5 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
-5 + 0.5x = 0.5 + 0.0
-5 + 0.5x = 0.5

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

Combine like terms: -5 + 5 = 0
0 + 0.5x = 0.5 + 5
0.5x = 0.5 + 5

Combine like terms: 0.5 + 5 = 5.5
0.5x = 5.5

Divide each side by '0.5'.
x = 11

Simplifying
x = 11

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