What is expand , 3/2 (x-2)-1/2 (x/3-1) ?

The solution to expand , 3/2 (x-2)-1/2 (x/3-1) is (4x)/3-5/2

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expand , 3/2 (x-2)-1/2 (x/3-1)

expand

\frac{3}{2} (x - 2) - \frac{1}{2} (\frac{x}{3} - 1)

\frac{4 x}{3} - \frac{5}{2}

Solution steps

\frac{3}{2} (x - 2) - \frac{1}{2} (\frac{x}{3} - 1)

Expand

\frac{3}{2} (x - 2) : \frac{3 x}{2} - 3

= \frac{3 x}{2} - 3 - \frac{1}{2} (\frac{x}{3} - 1)

Expand

- \frac{1}{2} (\frac{x}{3} - 1) : - \frac{x}{6} + \frac{1}{2}

= \frac{3 x}{2} - 3 - \frac{x}{6} + \frac{1}{2}

Join

\frac{3 x}{2} - 3 - \frac{x}{6} + \frac{1}{2} : \frac{4 x}{3} - \frac{5}{2}

= \frac{4 x}{3} - \frac{5}{2}

e^{(a + 1) t} sin ((b + 2) x) sin^{2} ((c + 3) x)

\frac{( 8 - x ) ^{5}}{40}

2 e^{- x^{2} - y^{2}} x - 2 e^{- x^{2} - y^{2}} x (x^{2} + 2 y^{2})

\frac{a + b}{( a + b ) ^{2} - 1}

\frac{1}{s ^{2} ( s ^{2} + 2 s + 2 ) - s}

What is expand , 3/2 (x-2)-1/2 (x/3-1) ?
The solution to expand , 3/2 (x-2)-1/2 (x/3-1) is (4x)/3-5/2