2x+3=.5x+2

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


Simplifying
2x + 3 = 0.5x + 2

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

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

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

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

Combine like terms: 0.5x + -0.5x = 0.0
3 + 1.5x = 2 + 0.0
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 = -1
1.5x = -1

Divide each side by '1.5'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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