Solve for t -1t+14=-3t+10

$- 1 t + 14 = - 3 t + 10$

Rewrite $- 1 t$ as $- t$ .

$- t + 14 = - 3 t + 10$

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

Add $3 t$ to both sides of the equation.

$- t + 14 + 3 t = 10$

Add $- t$ and $3 t$ .

$2 t + 14 = 10$

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

Subtract $14$ from both sides of the equation.

$2 t = 10 - 14$

Subtract $14$ from $10$ .

$2 t = - 4$

Divide each term in $2 t = - 4$ by $2$ and simplify.

Divide each term in $2 t = - 4$ by $2$ .

$\frac{2 t}{2} = \frac{- 4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 t}{2} = \frac{- 4}{2}$

Divide $t$ by $1$ .

$t = \frac{- 4}{2}$

Simplify the right side.

Divide $- 4$ by $2$ .

$t = - 2$