0.5x+1.5=2x-3

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Solution for 0.5x+1.5=2x-3 equation: 


Simplifying
0.5x + 1.5 = 2x + -3

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

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

Solving
1.5 + 0.5x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1.5 + 0.5x + -2x = -3 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
1.5 + -1.5x = -3 + 0
1.5 + -1.5x = -3

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

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

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

Divide each side by '-1.5'.
x = 3

Simplifying
x = 3

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