What is (5x)/(3+(x-1/2)-2x) ?

The solution to (5x)/(3+(x-1/2)-2x) is (10x)/(-2x+5)

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simplify (5x)/(3+(x-1/2)-2x)

simplify

\frac{5 x}{3 + ( x - \frac{1}{2} ) - 2 x}

\frac{10 x}{- 2 x + 5}

Solution steps

\frac{5 x}{3 + ( x - \frac{1}{2} ) - 2 x}

Apply rule:

a + (b + c) = a + b + c

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

= \frac{5 x}{3 + x - \frac{1}{2} - 2 x}

Simplify

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

= \frac{5 x}{\frac{- 2 x + 5}{2}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{5 x \cdot 2}{- 2 x + 5}

Multiply the numbers:

5 \cdot 2 = 10

= \frac{10 x}{- 2 x + 5}

(x y^{- 1}) x^{- 3} y^{0}

\frac{1}{4} x + \frac{2}{5} x

x^{2} + 4 y - y^{2} - 4 x

(\frac{a}{1} + \frac{1}{b}) \cdot (b + \frac{1}{a})

5 y^{2} + 33 x y - 14 y^{2}

What is (5x)/(3+(x-1/2)-2x) ?
The solution to (5x)/(3+(x-1/2)-2x) is (10x)/(-2x+5)