0.5x-3=0.75x-7.75

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Solution for 0.5x-3=0.75x-7.75 equation: 


Simplifying
0.5x + -3 = 0.75x + -7.75

Reorder the terms:
-3 + 0.5x = 0.75x + -7.75

Reorder the terms:
-3 + 0.5x = -7.75 + 0.75x

Solving
-3 + 0.5x = -7.75 + 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 = -7.75 + 0.75x + -0.75x

Combine like terms: 0.5x + -0.75x = -0.25x
-3 + -0.25x = -7.75 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
-3 + -0.25x = -7.75 + 0.00
-3 + -0.25x = -7.75

Add '3' to each side of the equation.
-3 + 3 + -0.25x = -7.75 + 3

Combine like terms: -3 + 3 = 0
0 + -0.25x = -7.75 + 3
-0.25x = -7.75 + 3

Combine like terms: -7.75 + 3 = -4.75
-0.25x = -4.75

Divide each side by '-0.25'.
x = 19

Simplifying
x = 19

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