What is 5/3 (3x-6)-(6-4x) ?

The solution to 5/3 (3x-6)-(6-4x) is 9x-16

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simplify 5/3 (3x-6)-(6-4x)

simplify

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

9 x - 16

Solution steps

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

Apply the distributive law:

- (a - b) = - a + b

- (6 - 4 x) = - 6 + 4 x

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

Expand

\frac{5}{3} (3 x - 6) : 5 x - 10

= 5 x - 10 - 6 + 4 x

Group like terms

= 5 x + 4 x - 10 - 6

Add similar elements:

5 x + 4 x = 9 x

= 9 x - 10 - 6

Subtract the numbers:

- 10 - 6 = - 16

= 9 x - 16

\frac{4}{5} \cdot \frac{5}{8}

\frac{4}{5} \cdot \frac{5}{4}

x^{2} - 4^{2}

\frac{53}{6}

\frac{53}{4}