How do you solve 3x /4 + 5x/2= 13?

Apr 26, 2018

$x = 4$

Explanation:

convert the mixed fractions

$\frac{3 x}{4} + \frac{5 x}{2} = 13$

eliminate the denominators by multiplying everything by 4

$3 x + 10 x = 52$

collect like terms

$13 x = 52$

solve for $x$

$x = 4$

sub in to prove

$\frac{\left(3\right) \left(4\right)}{4} + \frac{\left(5\right) \left(2\right)}{2} = 13$

$3 + 10 = 13$
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