What is 3/5 x+19-3/20 x-7 ?

The solution to 3/5 x+19-3/20 x-7 is 9/20 x+12

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simplify 3/5 x+19-3/20 x-7

simplify

\frac{3}{5} x + 19 - \frac{3}{20} x - 7

\frac{9}{20} x + 12

Solution steps

\frac{3}{5} x + 19 - \frac{3}{20} x - 7

Group like terms

= \frac{3}{5} x - \frac{3}{20} x + 19 - 7

Factor out common term

x

= x (\frac{3}{5} - \frac{3}{20}) + 19 - 7

Subtract the numbers:

19 - 7 = 12

= x (\frac{3}{5} - \frac{3}{20}) + 12

\frac{3}{5} - \frac{3}{20} = \frac{9}{20}

= x \frac{9}{20} + 12

= \frac{9}{20} x + 12

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