# How do you solve x/5 = (x+3)/8?

Sep 28, 2015

$x = 5$

#### Explanation:

The first step in solving this problem is called cross-multiplying; we multiply the numerator of the first fraction by the denominator of the second, and the numerator of the second by the denominator of the first. In this case, we multiply $x$ with $8$, and $5$ with $x + 3$:

$5 \left(x + 3\right) = 8 \cdot x$ (cross-multiplying)
$5 x + 15 = 8 x$ (distributing the $5$, simplifying $8 \cdot x$)
$15 = 3 x$ (subtracting $5 x$ from both sides)
$5 = x$ (dividing by $3$ to find $x$)

And there we go - our answer is $x = 5$.