563.50=46(x+2.25)

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Solution for 563.50=46(x+2.25) equation: 


Simplifying
563.50 = 46(x + 2.25)

Reorder the terms:
563.50 = 46(2.25 + x)
563.50 = (2.25 * 46 + x * 46)
563.50 = (103.5 + 46x)

Solving
563.50 = 103.5 + 46x

Solving for variable 'x'.

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

Add '-46x' to each side of the equation.
563.50 + -46x = 103.5 + 46x + -46x

Combine like terms: 46x + -46x = 0
563.50 + -46x = 103.5 + 0
563.50 + -46x = 103.5

Add '-563.50' to each side of the equation.
563.50 + -563.50 + -46x = 103.5 + -563.50

Combine like terms: 563.50 + -563.50 = 0.00
0.00 + -46x = 103.5 + -563.50
-46x = 103.5 + -563.50

Combine like terms: 103.5 + -563.50 = -460
-46x = -460

Divide each side by '-46'.
x = 10

Simplifying
x = 10

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