Solve for k -90=-5(k-3)

$- 90 = - 5 (k - 3)$

Step 1

Rewrite the equation as $- 5 (k - 3) = - 90$ .

$- 5 (k - 3) = - 90$

Step 2

Divide each term in $- 5 (k - 3) = - 90$ by $- 5$ and simplify.

Divide each term in $- 5 (k - 3) = - 90$ by $- 5$ .

$\frac{- 5 (k - 3)}{- 5} = \frac{- 90}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 (k - 3)}{- 5} = \frac{- 90}{- 5}$

Divide $k - 3$ by $1$ .

$k - 3 = \frac{- 90}{- 5}$

Simplify the right side.

Divide $- 90$ by $- 5$ .

$k - 3 = 18$

Step 3

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

Add $3$ to both sides of the equation.

$k = 18 + 3$

Add $18$ and $3$ .

$k = 21$