6x-8=.5x+10

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Solution for 6x-8=.5x+10 equation:


Simplifying
6x + -8 = 0.5x + 10

Reorder the terms:
-8 + 6x = 0.5x + 10

Reorder the terms:
-8 + 6x = 10 + 0.5x

Solving
-8 + 6x = 10 + 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.
-8 + 6x + -0.5x = 10 + 0.5x + -0.5x

Combine like terms: 6x + -0.5x = 5.5x
-8 + 5.5x = 10 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-8 + 5.5x = 10 + 0.0
-8 + 5.5x = 10

Add '8' to each side of the equation.
-8 + 8 + 5.5x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 5.5x = 10 + 8
5.5x = 10 + 8

Combine like terms: 10 + 8 = 18
5.5x = 18

Divide each side by '5.5'.
x = 3.272727273

Simplifying
x = 3.272727273

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