8x-20=.5x+5

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Solution for 8x-20=.5x+5 equation:


Simplifying
8x + -20 = 0.5x + 5

Reorder the terms:
-20 + 8x = 0.5x + 5

Reorder the terms:
-20 + 8x = 5 + 0.5x

Solving
-20 + 8x = 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.
-20 + 8x + -0.5x = 5 + 0.5x + -0.5x

Combine like terms: 8x + -0.5x = 7.5x
-20 + 7.5x = 5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-20 + 7.5x = 5 + 0.0
-20 + 7.5x = 5

Add '20' to each side of the equation.
-20 + 20 + 7.5x = 5 + 20

Combine like terms: -20 + 20 = 0
0 + 7.5x = 5 + 20
7.5x = 5 + 20

Combine like terms: 5 + 20 = 25
7.5x = 25

Divide each side by '7.5'.
x = 3.333333333

Simplifying
x = 3.333333333

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