2x-3=.5x+1.5

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Solution for 2x-3=.5x+1.5 equation:


Simplifying
2x + -3 = 0.5x + 1.5

Reorder the terms:
-3 + 2x = 0.5x + 1.5

Reorder the terms:
-3 + 2x = 1.5 + 0.5x

Solving
-3 + 2x = 1.5 + 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.
-3 + 2x + -0.5x = 1.5 + 0.5x + -0.5x

Combine like terms: 2x + -0.5x = 1.5x
-3 + 1.5x = 1.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-3 + 1.5x = 1.5 + 0.0
-3 + 1.5x = 1.5

Add '3' to each side of the equation.
-3 + 3 + 1.5x = 1.5 + 3

Combine like terms: -3 + 3 = 0
0 + 1.5x = 1.5 + 3
1.5x = 1.5 + 3

Combine like terms: 1.5 + 3 = 4.5
1.5x = 4.5

Divide each side by '1.5'.
x = 3

Simplifying
x = 3

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