Solve for t 8t+5=6t+1

$8 t + 5 = 6 t + 1$

Step 1

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

Subtract $6 t$ from both sides of the equation.

$8 t + 5 - 6 t = 1$

Subtract $6 t$ from $8 t$ .

$2 t + 5 = 1$

Step 2

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

Subtract $5$ from both sides of the equation.

$2 t = 1 - 5$

Subtract $5$ from $1$ .

$2 t = - 4$

Step 3

Divide each term in $2 t = - 4$ by $2$ and simplify.

Divide each term in $2 t = - 4$ by $2$ .

$\frac{2 t}{2} = \frac{- 4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 t}{2} = \frac{- 4}{2}$

Divide $t$ by $1$ .

$t = \frac{- 4}{2}$

Simplify the right side.

Divide $- 4$ by $2$ .

$t = - 2$