Solve for t 7/3t-5=19

$\frac{7}{3} t - 5 = 19$

Combine $\frac{7}{3}$ and $t$ .

$\frac{7 t}{3} - 5 = 19$

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

Add $5$ to both sides of the equation.

$\frac{7 t}{3} = 19 + 5$

Add $19$ and $5$ .

$\frac{7 t}{3} = 24$

Multiply both sides of the equation by $\frac{3}{7}$ .

$\frac{3}{7} \cdot \frac{7 t}{3} = \frac{3}{7} \cdot 24$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{3}{7} \cdot \frac{7 t}{3}$ .

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3}{7} \cdot \frac{7 t}{3} = \frac{3}{7} \cdot 24$

Rewrite the expression.

$\frac{1}{7} (7 t) = \frac{3}{7} \cdot 24$

Cancel the common factor of $7$ .

Factor $7$ out of $7 t$ .

$\frac{1}{7} (7 (t)) = \frac{3}{7} \cdot 24$

Cancel the common factor.

$\frac{1}{7} (7 t) = \frac{3}{7} \cdot 24$

Rewrite the expression.

$t = \frac{3}{7} \cdot 24$

Simplify the right side.

Multiply $\frac{3}{7} \cdot 24$ .

Combine $\frac{3}{7}$ and $24$ .

$t = \frac{3 \cdot 24}{7}$

Multiply $3$ by $24$ .

$t = \frac{72}{7}$

The result can be shown in multiple forms.

Exact Form:

$t = \frac{72}{7}$

Decimal Form:

$t = 10.28571428 \dots$

Mixed Number Form:

$t = 10 \frac{2}{7}$