Solve for t -2=-5t+10+2t

$- 2 = - 5 t + 10 + 2 t$

Step 1

Rewrite the equation as $- 5 t + 10 + 2 t = - 2$ .

$- 5 t + 10 + 2 t = - 2$

Step 2

Add $- 5 t$ and $2 t$ .

$- 3 t + 10 = - 2$

Step 3

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

Subtract $10$ from both sides of the equation.

$- 3 t = - 2 - 10$

Subtract $10$ from $- 2$ .

$- 3 t = - 12$

Step 4

Divide each term in $- 3 t = - 12$ by $- 3$ and simplify.

Divide each term in $- 3 t = - 12$ by $- 3$ .

$\frac{- 3 t}{- 3} = \frac{- 12}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 t}{- 3} = \frac{- 12}{- 3}$

Divide $t$ by $1$ .

$t = \frac{- 12}{- 3}$

Simplify the right side.

Divide $- 12$ by $- 3$ .

$t = 4$