Solve for x 5x+1/4=61/4

$5 x + \frac{1}{4} = \frac{61}{4}$

Move all terms not containing $x$ to the right side of the equation.

Subtract $\frac{1}{4}$ from both sides of the equation.

$5 x = \frac{61}{4} - \frac{1}{4}$

Combine the numerators over the common denominator.

$5 x = \frac{61 - 1}{4}$

Subtract $1$ from $61$ .

$5 x = \frac{60}{4}$

Divide $60$ by $4$ .

$5 x = 15$

Divide each term in $5 x = 15$ by $5$ and simplify.

Divide each term in $5 x = 15$ by $5$ .

$\frac{5 x}{5} = \frac{15}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{15}{5}$

Divide $x$ by $1$ .

$x = \frac{15}{5}$

Simplify the right side.

Divide $15$ by $5$ .

$x = 3$