(-.5)x+3=(2x-3)

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


Simplifying
(-0.5) * x + 3 = (2x + -3)

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

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

Remove parenthesis around (-3 + 2x)
3 + -0.5x = -3 + 2x

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

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

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

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

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

Combine like terms: -3 + -3 = -6
-2.5x = -6

Divide each side by '-2.5'.
x = 2.4

Simplifying
x = 2.4

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