20.95=(30.48)+(10-x)(24.78)

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Solution for 20.95=(30.48)+(10-x)(24.78) equation: 


Simplifying
20.95 = (30.48) + (10 + -1x)(24.78)
20.95 = 30.48 + (10 + -1x)(24.78)

Reorder the terms for easier multiplication:
20.95 = 30.48 + 24.78(10 + -1x)
20.95 = 30.48 + (10 * 24.78 + -1x * 24.78)
20.95 = 30.48 + (247.8 + -24.78x)

Combine like terms: 30.48 + 247.8 = 278.28
20.95 = 278.28 + -24.78x

Solving
20.95 = 278.28 + -24.78x

Solving for variable 'x'.

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

Add '24.78x' to each side of the equation.
20.95 + 24.78x = 278.28 + -24.78x + 24.78x

Combine like terms: -24.78x + 24.78x = 0.00
20.95 + 24.78x = 278.28 + 0.00
20.95 + 24.78x = 278.28

Add '-20.95' to each side of the equation.
20.95 + -20.95 + 24.78x = 278.28 + -20.95

Combine like terms: 20.95 + -20.95 = 0.00
0.00 + 24.78x = 278.28 + -20.95
24.78x = 278.28 + -20.95

Combine like terms: 278.28 + -20.95 = 257.33
24.78x = 257.33

Divide each side by '24.78'.
x = 10.38458434

Simplifying
x = 10.38458434

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