3x-15=.5x+5

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Solution for 3x-15=.5x+5 equation:


Simplifying
3x + -15 = 0.5x + 5

Reorder the terms:
-15 + 3x = 0.5x + 5

Reorder the terms:
-15 + 3x = 5 + 0.5x

Solving
-15 + 3x = 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.
-15 + 3x + -0.5x = 5 + 0.5x + -0.5x

Combine like terms: 3x + -0.5x = 2.5x
-15 + 2.5x = 5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-15 + 2.5x = 5 + 0.0
-15 + 2.5x = 5

Add '15' to each side of the equation.
-15 + 15 + 2.5x = 5 + 15

Combine like terms: -15 + 15 = 0
0 + 2.5x = 5 + 15
2.5x = 5 + 15

Combine like terms: 5 + 15 = 20
2.5x = 20

Divide each side by '2.5'.
x = 8

Simplifying
x = 8

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