# How do you solve 10 1/2 = x + 1 1/2 ?

Feb 16, 2016

$9$

#### Explanation:

Isolate $x$ on the right-hand side by subtracting $1 \frac{1}{2}$ from both sides

$10 \frac{1}{2} - 1 \frac{1}{2} = x + \cancel{1 \frac{1}{2}} - \cancel{1 \frac{1}{2}}$

This is equivalent to

$\frac{10 \cdot 2 + 1}{2} - \frac{1 \cdot 2 + 1}{2} = x$

$\frac{21}{2} - \frac{3}{2} = x \implies x = \frac{18}{2} = 9$