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Popular >

simplify (9/4 x+6)-(-5/4 x-24)

Solution

simplify

(\frac{9}{4} x + 6) - (- \frac{5}{4} x - 24)

Solution

\frac{7 x}{2} + 30

Solution steps

(\frac{9}{4} x + 6) - (- \frac{5}{4} x - 24)

Apply rule:

(a) = a

(\frac{9}{4} x + 6) = \frac{9}{4} x + 6

= \frac{9}{4} x + 6 - (- \frac{5}{4} x - 24)

\frac{9}{4} x = \frac{9 x}{4}

- (- \frac{5}{4} x - 24) = \frac{5}{4} x + 24

= \frac{9 x}{4} + 6 + \frac{5}{4} x + 24

Join

\frac{9 x}{4} + 6 + \frac{5}{4} x + 24 : \frac{x ( \frac{5}{4} \cdot 4 + 9 )}{4} + 30

= \frac{x ( \frac{5}{4} \cdot 4 + 9 )}{4} + 30

\frac{5}{4} \cdot 4 + 9 = 14

= \frac{x \cdot 14}{4} + 30

Cancel

\frac{x \cdot 14}{4} : \frac{x \cdot 7}{2}

= \frac{x \cdot 7}{2} + 30

= \frac{7 x}{2} + 30

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Frequently Asked Questions (FAQ)

What is (9/4 x+6)-(-5/4 x-24) ?
The solution to (9/4 x+6)-(-5/4 x-24) is (7x)/2+30