Solve for t 5(t-3)=2t

$5 (t - 3) = 2 t$

Step 1

Simplify $5 (t - 3)$ .

Rewrite.

$0 + 0 + 5 (t - 3) = 2 t$

Simplify by adding zeros.

$5 (t - 3) = 2 t$

Apply the distributive property.

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

Multiply $5$ by $- 3$ .

$5 t - 15 = 2 t$

Step 2

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

Subtract $2 t$ from both sides of the equation.

$5 t - 15 - 2 t = 0$

Subtract $2 t$ from $5 t$ .

$3 t - 15 = 0$

Step 3

Add $15$ to both sides of the equation.

$3 t = 15$

Step 4

Divide each term in $3 t = 15$ by $3$ and simplify.

Divide each term in $3 t = 15$ by $3$ .

$\frac{3 t}{3} = \frac{15}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 t}{3} = \frac{15}{3}$

Divide $t$ by $1$ .

$t = \frac{15}{3}$

Simplify the right side.

Divide $15$ by $3$ .

$t = 5$