22.5=(22.5+.05x)-(.05(22.5+.05x))

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Solution for 22.5=(22.5+.05x)-(.05(22.5+.05x)) equation:


Simplifying
22.5 = (22.5 + 0.05x) + -1(0.05(22.5 + 0.05x))

Remove parenthesis around (22.5 + 0.05x)
22.5 = 22.5 + 0.05x + -1(0.05(22.5 + 0.05x))
22.5 = 22.5 + 0.05x + -1((22.5 * 0.05 + 0.05x * 0.05))
22.5 = 22.5 + 0.05x + -1((1.125 + 0.0025x))
22.5 = 22.5 + 0.05x + (1.125 * -1 + 0.0025x * -1)
22.5 = 22.5 + 0.05x + (-1.125 + -0.0025x)

Reorder the terms:
22.5 = 22.5 + -1.125 + 0.05x + -0.0025x

Combine like terms: 22.5 + -1.125 = 21.375
22.5 = 21.375 + 0.05x + -0.0025x

Combine like terms: 0.05x + -0.0025x = 0.0475x
22.5 = 21.375 + 0.0475x

Solving
22.5 = 21.375 + 0.0475x

Solving for variable 'x'.

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

Add '-0.0475x' to each side of the equation.
22.5 + -0.0475x = 21.375 + 0.0475x + -0.0475x

Combine like terms: 0.0475x + -0.0475x = 0.0000
22.5 + -0.0475x = 21.375 + 0.0000
22.5 + -0.0475x = 21.375

Add '-22.5' to each side of the equation.
22.5 + -22.5 + -0.0475x = 21.375 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + -0.0475x = 21.375 + -22.5
-0.0475x = 21.375 + -22.5

Combine like terms: 21.375 + -22.5 = -1.125
-0.0475x = -1.125

Divide each side by '-0.0475'.
x = 23.68421053

Simplifying
x = 23.68421053

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