6-.75x+.33=.5x+5

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Solution for 6-.75x+.33=.5x+5 equation:


Simplifying
6 + -0.75x + 0.33 = 0.5x + 5

Reorder the terms:
6 + 0.33 + -0.75x = 0.5x + 5

Combine like terms: 6 + 0.33 = 6.33
6.33 + -0.75x = 0.5x + 5

Reorder the terms:
6.33 + -0.75x = 5 + 0.5x

Solving
6.33 + -0.75x = 5 + 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.
6.33 + -0.75x + -0.5x = 5 + 0.5x + -0.5x

Combine like terms: -0.75x + -0.5x = -1.25x
6.33 + -1.25x = 5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
6.33 + -1.25x = 5 + 0.0
6.33 + -1.25x = 5

Add '-6.33' to each side of the equation.
6.33 + -6.33 + -1.25x = 5 + -6.33

Combine like terms: 6.33 + -6.33 = 0.00
0.00 + -1.25x = 5 + -6.33
-1.25x = 5 + -6.33

Combine like terms: 5 + -6.33 = -1.33
-1.25x = -1.33

Divide each side by '-1.25'.
x = 1.064

Simplifying
x = 1.064

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