2x-4=0.5x+6

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Solution for 2x-4=0.5x+6 equation: 


Simplifying
2x + -4 = 0.5x + 6

Reorder the terms:
-4 + 2x = 0.5x + 6

Reorder the terms:
-4 + 2x = 6 + 0.5x

Solving
-4 + 2x = 6 + 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.
-4 + 2x + -0.5x = 6 + 0.5x + -0.5x

Combine like terms: 2x + -0.5x = 1.5x
-4 + 1.5x = 6 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-4 + 1.5x = 6 + 0.0
-4 + 1.5x = 6

Add '4' to each side of the equation.
-4 + 4 + 1.5x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 1.5x = 6 + 4
1.5x = 6 + 4

Combine like terms: 6 + 4 = 10
1.5x = 10

Divide each side by '1.5'.
x = 6.666666667

Simplifying
x = 6.666666667

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