Solve for t -8t=-3(t+5)+10t

$- 8 t = - 3 (t + 5) + 10 t$

Since $t$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 3 (t + 5) + 10 t = - 8 t$

Simplify $- 3 (t + 5) + 10 t$ .

Simplify each term.

Apply the distributive property.

$- 3 t - 3 \cdot 5 + 10 t = - 8 t$

Multiply $- 3$ by $5$ .

$- 3 t - 15 + 10 t = - 8 t$

Add $- 3 t$ and $10 t$ .

$7 t - 15 = - 8 t$

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

Add $8 t$ to both sides of the equation.

$7 t - 15 + 8 t = 0$

Add $7 t$ and $8 t$ .

$15 t - 15 = 0$

Add $15$ to both sides of the equation.

$15 t = 15$

Divide each term in $15 t = 15$ by $15$ and simplify.

Divide each term in $15 t = 15$ by $15$ .

$\frac{15 t}{15} = \frac{15}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 t}{15} = \frac{15}{15}$

Divide $t$ by $1$ .

$t = \frac{15}{15}$

Simplify the right side.

Divide $15$ by $15$ .

$t = 1$