Solve for t 16-2t=5t+9

$16 - 2 t = 5 t + 9$

Step 1

Move all terms containing $t$ to the left side of the equation.

Subtract $5 t$ from both sides of the equation.

$16 - 2 t - 5 t = 9$

Subtract $5 t$ from $- 2 t$ .

$16 - 7 t = 9$

Step 2

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

Subtract $16$ from both sides of the equation.

$- 7 t = 9 - 16$

Subtract $16$ from $9$ .

$- 7 t = - 7$

Step 3

Divide each term in $- 7 t = - 7$ by $- 7$ and simplify.

Divide each term in $- 7 t = - 7$ by $- 7$ .

$\frac{- 7 t}{- 7} = \frac{- 7}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 t}{- 7} = \frac{- 7}{- 7}$

Divide $t$ by $1$ .

$t = \frac{- 7}{- 7}$

Simplify the right side.

Divide $- 7$ by $- 7$ .

$t = 1$