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Popular >

simplify 3/4 (3x+6)-1/4 (5x-24)

Solution

simplify

\frac{3}{4} (3 x + 6) - \frac{1}{4} (5 x - 24)

Solution

x + \frac{21}{2}

Solution steps

\frac{3}{4} (3 x + 6) - \frac{1}{4} (5 x - 24)

Expand

\frac{3}{4} (3 x + 6) : \frac{9 x}{4} + \frac{9}{2}

= \frac{9 x}{4} + \frac{9}{2} - \frac{1}{4} (5 x - 24)

Expand

- \frac{1}{4} (5 x - 24) : - \frac{5 x}{4} + 6

= \frac{9 x}{4} + \frac{9}{2} - \frac{5 x}{4} + 6

Join

\frac{9 x}{4} + \frac{9}{2} - \frac{5 x}{4} + 6 : x + \frac{21}{2}

= x + \frac{21}{2}

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Frequently Asked Questions (FAQ)

What is 3/4 (3x+6)-1/4 (5x-24) ?
The solution to 3/4 (3x+6)-1/4 (5x-24) is x+21/2