Solve for x 6x-5y=30

$6 x - 5 y = 30$

Step 1

Add $5 y$ to both sides of the equation.

$6 x = 30 + 5 y$

Step 2

Divide each term in $6 x = 30 + 5 y$ by $6$ and simplify.

Divide each term in $6 x = 30 + 5 y$ by $6$ .

$\frac{6 x}{6} = \frac{30}{6} + \frac{5 y}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{30}{6} + \frac{5 y}{6}$

Divide $x$ by $1$ .

$x = \frac{30}{6} + \frac{5 y}{6}$

Simplify the right side.

Divide $30$ by $6$ .

$x = 5 + \frac{5 y}{6}$