# arrow_back Solve $\frac{x}{2}+\frac{x}{3}=5$

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Solve $\dfrac{x}{2}+\dfrac{x}{3}=5$

$\dfrac{x}{2} +\dfrac{x}{3}=5$

to eliminate the fractional part, multiply all terms by 6 (the lowest common denominator of 2 and 3)

$6\times \dfrac{x}{2} + 6 \times \dfrac{x}{3}=6 \times 5$

the result is:

$3x+2x=30 => 5x=30$

Dividing both sides by 5 gives:

$5x = 30$

$\therefore x=6$
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