# How do you solve x-1/8=3/4?

Jan 22, 2016

#### Answer:

$x = \frac{7}{8}$

#### Explanation:

In order to isolate $x$, we should add $\frac{1}{8}$ to both sides of the equation. This will keep the equation balanced and undo the $- \frac{1}{8}$ already on the left hand side. This gives:

$x \textcolor{red}{\cancel{\textcolor{b l a c k}{- \frac{1}{8} + \frac{1}{8}}}} = \frac{3}{4} + \frac{1}{8}$

$x = \frac{3}{4} + \frac{1}{8}$

In order to add fractions, we must have a common denominator. We can achieve this by multiplying $\frac{3}{4}$ by $\frac{2}{2}$, which is equal to $1$. This will change how the fraction looks but won't change its actual value.

$x = \frac{3}{4} \left(\frac{2}{2}\right) + \frac{1}{8}$

$x = \frac{6}{8} + \frac{1}{8}$

Now that the fractions have equal denominators, we can add the numerators and keep the denominators the same.

$x = \frac{6 + 1}{8}$

$x = \frac{7}{8}$