Solve for k (3k-7)/5=16

$\frac{3 k - 7}{5} = 16$

Multiply both sides by $5$ .

$\frac{3 k - 7}{5} \cdot 5 = 16 \cdot 5$

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{3 k - 7}{5} \cdot 5 = 16 \cdot 5$

Rewrite the expression.

$3 k - 7 = 16 \cdot 5$

Simplify the right side.

Multiply $16$ by $5$ .

$3 k - 7 = 80$

Solve for $k$ .

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

Add $7$ to both sides of the equation.

$3 k = 80 + 7$

Add $80$ and $7$ .

$3 k = 87$

Divide each term in $3 k = 87$ by $3$ and simplify.

Divide each term in $3 k = 87$ by $3$ .

$\frac{3 k}{3} = \frac{87}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 k}{3} = \frac{87}{3}$

Divide $k$ by $1$ .

$k = \frac{87}{3}$

Simplify the right side.

Divide $87$ by $3$ .

$k = 29$