# How do you solve 4x-1/6=3?

Apr 8, 2017

$x = \frac{19}{24}$

#### Explanation:

As $4 x - \frac{1}{6} = 3$, adding $\frac{1}{6}$ on both sides we get

$4 x - \frac{1}{6} + \frac{1}{6} = 3 + \frac{1}{6}$

or $4 x = \frac{19}{6}$

Dividing each side by $4$, we get

x = 19/6 ×1/4=19/24

Apr 8, 2017

$x = \frac{19}{24}$

#### Explanation:

First, put constant terms together.
$4 x = 3 + \frac{1}{6}$
$4 x = \frac{19}{6}$

Divide both sides by 4 so that you get $x$ on its own

$x = \frac{19}{24}$

Apr 8, 2017

Multiply by the Least Common Denominator and solve for x.

$x = \frac{19}{24}$

#### Explanation:

The LCM is 6. so multiplying by 6 gives

$6 \times 4 x - 6 \times \frac{1}{6} = 6 \times 3$

Doing the math gives:

$24 x - 1 = 18$

add + 1 to both sides

$24 x - 1 + 1 = 18 + 1$

This results in

$24 x = 19$

divide both sides by 24

$\frac{24 x}{24} = \frac{19}{24}$

This gives the awkward value of

$x = \frac{19}{24}$

To check, substitute $x = \frac{19}{24}$ into the $g i v e n$ equation:

$4 x - \frac{1}{6} = 3$

$\cancel{4} \left(\frac{19}{\cancel{24}}\right) - \frac{1}{6} = 3$

$\left(\frac{19}{6}\right) - \frac{1}{6} = \frac{18}{6} = 3$