Solve for x (7x+9)/5-12=8

$\frac{7 x + 9}{5} - 12 = 8$

Simplify $\frac{7 x + 9}{5} - 12$ .

To write $- 12$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{7 x + 9}{5} - 12 \cdot \frac{5}{5} = 8$

Simplify terms.

Combine $- 12$ and $\frac{5}{5}$ .

$\frac{7 x + 9}{5} + \frac{- 12 \cdot 5}{5} = 8$

Combine the numerators over the common denominator.

$\frac{7 x + 9 - 12 \cdot 5}{5} = 8$

Simplify the numerator.

Multiply $- 12$ by $5$ .

$\frac{7 x + 9 - 60}{5} = 8$

Subtract $60$ from $9$ .

$\frac{7 x - 51}{5} = 8$

Multiply both sides by $5$ .

$\frac{7 x - 51}{5} \cdot 5 = 8 \cdot 5$

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{7 x - 51}{5} \cdot 5 = 8 \cdot 5$

Rewrite the expression.

$7 x - 51 = 8 \cdot 5$

Simplify the right side.

Multiply $8$ by $5$ .

$7 x - 51 = 40$

Solve for $x$ .

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

Add $51$ to both sides of the equation.

$7 x = 40 + 51$

Add $40$ and $51$ .

$7 x = 91$

Divide each term in $7 x = 91$ by $7$ and simplify.

Divide each term in $7 x = 91$ by $7$ .

$\frac{7 x}{7} = \frac{91}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{91}{7}$

Divide $x$ by $1$ .

$x = \frac{91}{7}$

Simplify the right side.

Divide $91$ by $7$ .

$x = 13$