Solve for t 5(2t+s)=2(3s)

$5 (2 t + s) = 2 (3 s)$

Multiply $3$ by $2$ .

$5 (2 t + s) = 6 \cdot s$

Divide each term in $5 (2 t + s) = 6 \cdot s$ by $5$ and simplify.

Divide each term in $5 (2 t + s) = 6 \cdot s$ by $5$ .

$\frac{5 (2 t + s)}{5} = \frac{6 \cdot s}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 (2 t + s)}{5} = \frac{6 \cdot s}{5}$

Divide $2 t + s$ by $1$ .

$2 t + s = \frac{6 \cdot s}{5}$

Simplify the right side.

Multiply $6$ by $s$ .

$2 t + s = \frac{6 s}{5}$

Subtract $s$ from both sides of the equation.

$2 t = \frac{6 s}{5} - s$

Divide each term in $2 t = \frac{6 s}{5} - s$ by $2$ and simplify.

Divide each term in $2 t = \frac{6 s}{5} - s$ by $2$ .

$\frac{2 t}{2} = \frac{\frac{6 s}{5}}{2} + \frac{- s}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 t}{2} = \frac{\frac{6 s}{5}}{2} + \frac{- s}{2}$

Divide $t$ by $1$ .

$t = \frac{\frac{6 s}{5}}{2} + \frac{- s}{2}$

Simplify the right side.

Combine the numerators over the common denominator.

$t = \frac{\frac{6 s}{5} - s}{2}$

To write $- s$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$t = \frac{\frac{6 s}{5} - s \cdot \frac{5}{5}}{2}$

Simplify terms.

Combine $- s$ and $\frac{5}{5}$ .

$t = \frac{\frac{6 s}{5} + \frac{- s \cdot 5}{5}}{2}$

Combine the numerators over the common denominator.

$t = \frac{\frac{6 s - s \cdot 5}{5}}{2}$

Simplify the numerator.

Factor $s$ out of $6 s - s \cdot 5$ .

Factor $s$ out of $6 s$ .

$t = \frac{\frac{s \cdot 6 - s \cdot 5}{5}}{2}$

Factor $s$ out of $- s \cdot 5$ .

$t = \frac{\frac{s \cdot 6 + s (- 1 \cdot 5)}{5}}{2}$

Factor $s$ out of $s \cdot 6 + s (- 1 \cdot 5)$ .

$t = \frac{\frac{s (6 - 1 \cdot 5)}{5}}{2}$

Multiply $- 1$ by $5$ .

$t = \frac{\frac{s (6 - 5)}{5}}{2}$

Subtract $5$ from $6$ .

$t = \frac{\frac{s \cdot 1}{5}}{2}$

Multiply $s$ by $1$ .

$t = \frac{\frac{s}{5}}{2}$

Multiply the numerator by the reciprocal of the denominator.

$t = \frac{s}{5} \cdot \frac{1}{2}$

Multiply $\frac{s}{5} \cdot \frac{1}{2}$ .

Multiply $\frac{s}{5}$ by $\frac{1}{2}$ .

$t = \frac{s}{5 \cdot 2}$

Multiply $5$ by $2$ .

$t = \frac{s}{10}$

Solve for t 5(2t+s)=2(3s)

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