22.5-9x=17.5-(10x-7.5)

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Solution for 22.5-9x=17.5-(10x-7.5) equation:


Simplifying
22.5 + -9x = 17.5 + -1(10x + -7.5)

Reorder the terms:
22.5 + -9x = 17.5 + -1(-7.5 + 10x)
22.5 + -9x = 17.5 + (-7.5 * -1 + 10x * -1)
22.5 + -9x = 17.5 + (7.5 + -10x)

Combine like terms: 17.5 + 7.5 = 25
22.5 + -9x = 25 + -10x

Solving
22.5 + -9x = 25 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
22.5 + -9x + 10x = 25 + -10x + 10x

Combine like terms: -9x + 10x = 1x
22.5 + 1x = 25 + -10x + 10x

Combine like terms: -10x + 10x = 0
22.5 + 1x = 25 + 0
22.5 + 1x = 25

Add '-22.5' to each side of the equation.
22.5 + -22.5 + 1x = 25 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + 1x = 25 + -22.5
1x = 25 + -22.5

Combine like terms: 25 + -22.5 = 2.5
1x = 2.5

Divide each side by '1'.
x = 2.5

Simplifying
x = 2.5

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