.5x+3=.75x-2

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Solution for .5x+3=.75x-2 equation:


Simplifying
0.5x + 3 = 0.75x + -2

Reorder the terms:
3 + 0.5x = 0.75x + -2

Reorder the terms:
3 + 0.5x = -2 + 0.75x

Solving
3 + 0.5x = -2 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
3 + 0.5x + -0.75x = -2 + 0.75x + -0.75x

Combine like terms: 0.5x + -0.75x = -0.25x
3 + -0.25x = -2 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
3 + -0.25x = -2 + 0.00
3 + -0.25x = -2

Add '-3' to each side of the equation.
3 + -3 + -0.25x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -0.25x = -2 + -3
-0.25x = -2 + -3

Combine like terms: -2 + -3 = -5
-0.25x = -5

Divide each side by '-0.25'.
x = 20

Simplifying
x = 20

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