0.5x+3=2x-2

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


Simplifying
0.5x + 3 = 2x + -2

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

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

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

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

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

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

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

Combine like terms: -2 + -3 = -5
-1.5x = -5

Divide each side by '-1.5'.
x = 3.333333333

Simplifying
x = 3.333333333

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