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

The solution to 5/3-(x+2)/(2x) is (7x-6)/(6x)

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

simplify

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

\frac{7 x - 6}{6 x}

Solution steps

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

Least Common Multiplier of

3, 2 x : 6 x

Adjust Fractions based on the LCM

= \frac{10 x}{6 x} - \frac{( x + 2 ) \cdot 3}{6 x}

Apply the fraction rule:

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

= \frac{10 x - ( x + 2 ) \cdot 3}{6 x}

Simplify

10 x - (x + 2) \cdot 3 : 7 x - 6

= \frac{7 x - 6}{6 x}

- 3 - 3

\frac{1}{12} \div 2

8 \times 7 \times 6

b^{4} b^{0}