3x-4=0.5x+6

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Solution for 3x-4=0.5x+6 equation:


Simplifying
3x + -4 = 0.5x + 6

Reorder the terms:
-4 + 3x = 0.5x + 6

Reorder the terms:
-4 + 3x = 6 + 0.5x

Solving
-4 + 3x = 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 + 3x + -0.5x = 6 + 0.5x + -0.5x

Combine like terms: 3x + -0.5x = 2.5x
-4 + 2.5x = 6 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-4 + 2.5x = 6 + 0.0
-4 + 2.5x = 6

Add '4' to each side of the equation.
-4 + 4 + 2.5x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 2.5x = 6 + 4
2.5x = 6 + 4

Combine like terms: 6 + 4 = 10
2.5x = 10

Divide each side by '2.5'.
x = 4

Simplifying
x = 4

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