909.50=6.50x+3.25(170-x)

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Solution for 909.50=6.50x+3.25(170-x) equation: 


Simplifying
909.50 = 6.50x + 3.25(170 + -1x)
909.50 = 6.50x + (170 * 3.25 + -1x * 3.25)
909.50 = 6.50x + (552.5 + -3.25x)

Reorder the terms:
909.50 = 552.5 + 6.50x + -3.25x

Combine like terms: 6.50x + -3.25x = 3.25x
909.50 = 552.5 + 3.25x

Solving
909.50 = 552.5 + 3.25x

Solving for variable 'x'.

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

Add '-3.25x' to each side of the equation.
909.50 + -3.25x = 552.5 + 3.25x + -3.25x

Combine like terms: 3.25x + -3.25x = 0.00
909.50 + -3.25x = 552.5 + 0.00
909.50 + -3.25x = 552.5

Add '-909.50' to each side of the equation.
909.50 + -909.50 + -3.25x = 552.5 + -909.50

Combine like terms: 909.50 + -909.50 = 0.00
0.00 + -3.25x = 552.5 + -909.50
-3.25x = 552.5 + -909.50

Combine like terms: 552.5 + -909.50 = -357
-3.25x = -357

Divide each side by '-3.25'.
x = 109.8461538

Simplifying
x = 109.8461538

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