5x-8.5=3x+5

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Solution for 5x-8.5=3x+5 equation:


Simplifying
5x + -8.5 = 3x + 5

Reorder the terms:
-8.5 + 5x = 3x + 5

Reorder the terms:
-8.5 + 5x = 5 + 3x

Solving
-8.5 + 5x = 5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8.5 + 5x + -3x = 5 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-8.5 + 2x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8.5 + 2x = 5 + 0
-8.5 + 2x = 5

Add '8.5' to each side of the equation.
-8.5 + 8.5 + 2x = 5 + 8.5

Combine like terms: -8.5 + 8.5 = 0.0
0.0 + 2x = 5 + 8.5
2x = 5 + 8.5

Combine like terms: 5 + 8.5 = 13.5
2x = 13.5

Divide each side by '2'.
x = 6.75

Simplifying
x = 6.75

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