0.5x-6=0.2x+8

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Solution for 0.5x-6=0.2x+8 equation: 


Simplifying
0.5x + -6 = 0.2x + 8

Reorder the terms:
-6 + 0.5x = 0.2x + 8

Reorder the terms:
-6 + 0.5x = 8 + 0.2x

Solving
-6 + 0.5x = 8 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-6 + 0.5x + -0.2x = 8 + 0.2x + -0.2x

Combine like terms: 0.5x + -0.2x = 0.3x
-6 + 0.3x = 8 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-6 + 0.3x = 8 + 0.0
-6 + 0.3x = 8

Add '6' to each side of the equation.
-6 + 6 + 0.3x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 0.3x = 8 + 6
0.3x = 8 + 6

Combine like terms: 8 + 6 = 14
0.3x = 14

Divide each side by '0.3'.
x = 46.66666667

Simplifying
x = 46.66666667

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