113.5=7.75x+4.5(18-x)

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Solution for 113.5=7.75x+4.5(18-x) equation: 


Simplifying
113.5 = 7.75x + 4.5(18 + -1x)
113.5 = 7.75x + (18 * 4.5 + -1x * 4.5)
113.5 = 7.75x + (81 + -4.5x)

Reorder the terms:
113.5 = 81 + 7.75x + -4.5x

Combine like terms: 7.75x + -4.5x = 3.25x
113.5 = 81 + 3.25x

Solving
113.5 = 81 + 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.
113.5 + -3.25x = 81 + 3.25x + -3.25x

Combine like terms: 3.25x + -3.25x = 0.00
113.5 + -3.25x = 81 + 0.00
113.5 + -3.25x = 81

Add '-113.5' to each side of the equation.
113.5 + -113.5 + -3.25x = 81 + -113.5

Combine like terms: 113.5 + -113.5 = 0.0
0.0 + -3.25x = 81 + -113.5
-3.25x = 81 + -113.5

Combine like terms: 81 + -113.5 = -32.5
-3.25x = -32.5

Divide each side by '-3.25'.
x = 10

Simplifying
x = 10

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