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

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

Step 1

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

Simplify each term.

Apply the distributive property.

$5 t - 2 t - 2 \cdot 2 = 8$

Multiply $- 2$ by $2$ .

$5 t - 2 t - 4 = 8$

Subtract $2 t$ from $5 t$ .

$3 t - 4 = 8$

Step 2

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

Add $4$ to both sides of the equation.

$3 t = 8 + 4$

Add $8$ and $4$ .

$3 t = 12$

Step 3

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 $3$ .

$t = 4$