Solve for t -3(t+5)+(4t+2)=8

$- 3 (t + 5) + (4 t + 2) = 8$

Step 1

Simplify $- 3 (t + 5) + 4 t + 2$ .

Simplify each term.

Apply the distributive property.

$- 3 t - 3 \cdot 5 + 4 t + 2 = 8$

Multiply $- 3$ by $5$ .

$- 3 t - 15 + 4 t + 2 = 8$

Simplify by adding terms.

Add $- 3 t$ and $4 t$ .

$t - 15 + 2 = 8$

Add $- 15$ and $2$ .

$t - 13 = 8$

Step 2

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

Add $13$ to both sides of the equation.

$t = 8 + 13$

Add $8$ and $13$ .

$t = 21$