3x-2=0.5x+3

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Solution for 3x-2=0.5x+3 equation:


Simplifying
3x + -2 = 0.5x + 3

Reorder the terms:
-2 + 3x = 0.5x + 3

Reorder the terms:
-2 + 3x = 3 + 0.5x

Solving
-2 + 3x = 3 + 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.
-2 + 3x + -0.5x = 3 + 0.5x + -0.5x

Combine like terms: 3x + -0.5x = 2.5x
-2 + 2.5x = 3 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-2 + 2.5x = 3 + 0.0
-2 + 2.5x = 3

Add '2' to each side of the equation.
-2 + 2 + 2.5x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 2.5x = 3 + 2
2.5x = 3 + 2

Combine like terms: 3 + 2 = 5
2.5x = 5

Divide each side by '2.5'.
x = 2

Simplifying
x = 2

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