Solve for t 2(3t-8)-4t=10

$2 (3 t - 8) - 4 t = 10$

Step 1

Simplify $2 (3 t - 8) - 4 t$ .

Simplify each term.

Apply the distributive property.

$2 (3 t) + 2 \cdot - 8 - 4 t = 10$

Multiply $3$ by $2$ .

$6 t + 2 \cdot - 8 - 4 t = 10$

Multiply $2$ by $- 8$ .

$6 t - 16 - 4 t = 10$

Subtract $4 t$ from $6 t$ .

$2 t - 16 = 10$

Step 2

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

Add $16$ to both sides of the equation.

$2 t = 10 + 16$

Add $10$ and $16$ .

$2 t = 26$

Step 3

Divide each term in $2 t = 26$ by $2$ and simplify.

Divide each term in $2 t = 26$ by $2$ .

$\frac{2 t}{2} = \frac{26}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 t}{2} = \frac{26}{2}$

Divide $t$ by $1$ .

$t = \frac{26}{2}$

Simplify the right side.

Divide $26$ by $2$ .

$t = 13$