6-.75x+.25=.50x+5

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Solution for 6-.75x+.25=.50x+5 equation:


Simplifying
6 + -0.75x + 0.25 = 0.50x + 5

Reorder the terms:
6 + 0.25 + -0.75x = 0.50x + 5

Combine like terms: 6 + 0.25 = 6.25
6.25 + -0.75x = 0.50x + 5

Reorder the terms:
6.25 + -0.75x = 5 + 0.50x

Solving
6.25 + -0.75x = 5 + 0.50x

Solving for variable 'x'.

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

Add '-0.50x' to each side of the equation.
6.25 + -0.75x + -0.50x = 5 + 0.50x + -0.50x

Combine like terms: -0.75x + -0.50x = -1.25x
6.25 + -1.25x = 5 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
6.25 + -1.25x = 5 + 0.00
6.25 + -1.25x = 5

Add '-6.25' to each side of the equation.
6.25 + -6.25 + -1.25x = 5 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + -1.25x = 5 + -6.25
-1.25x = 5 + -6.25

Combine like terms: 5 + -6.25 = -1.25
-1.25x = -1.25

Divide each side by '-1.25'.
x = 1

Simplifying
x = 1

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