Solve for t 6=5t-2t-3

$6 = 5 t - 2 t - 3$

Rewrite the equation as $5 t - 2 t - 3 = 6$ .

$5 t - 2 t - 3 = 6$

Subtract $2 t$ from $5 t$ .

$3 t - 3 = 6$

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

Add $3$ to both sides of the equation.

$3 t = 6 + 3$

Add $6$ and $3$ .

$3 t = 9$

Divide each term in $3 t = 9$ by $3$ and simplify.

Divide each term in $3 t = 9$ by $3$ .

$\frac{3 t}{3} = \frac{9}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 t}{3} = \frac{9}{3}$

Divide $t$ by $1$ .

$t = \frac{9}{3}$

Simplify the right side.

Divide $9$ by $3$ .

$t = 3$