Solve for s 2r=8t-4s

$2 r = 8 t - 4 s$

Step 1

Rewrite the equation as $8 t - 4 s = 2 r$ .

$8 t - 4 s = 2 r$

Step 2

Subtract $8 t$ from both sides of the equation.

$- 4 s = 2 r - 8 t$

Step 3

Divide each term in $- 4 s = 2 r - 8 t$ by $- 4$ and simplify.

Divide each term in $- 4 s = 2 r - 8 t$ by $- 4$ .

$\frac{- 4 s}{- 4} = \frac{2 r}{- 4} + \frac{- 8 t}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 s}{- 4} = \frac{2 r}{- 4} + \frac{- 8 t}{- 4}$

Divide $s$ by $1$ .

$s = \frac{2 r}{- 4} + \frac{- 8 t}{- 4}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $2$ and $- 4$ .

Factor $2$ out of $2 r$ .

$s = \frac{2 (r)}{- 4} + \frac{- 8 t}{- 4}$

Cancel the common factors.

Factor $2$ out of $- 4$ .

$s = \frac{2 r}{2 \cdot - 2} + \frac{- 8 t}{- 4}$

Cancel the common factor.

$s = \frac{2 r}{2 \cdot - 2} + \frac{- 8 t}{- 4}$

Rewrite the expression.

$s = \frac{r}{- 2} + \frac{- 8 t}{- 4}$

Move the negative in front of the fraction.

$s = - \frac{r}{2} + \frac{- 8 t}{- 4}$

Cancel the common factor of $- 8$ and $- 4$ .

Factor $- 4$ out of $- 8 t$ .

$s = - \frac{r}{2} + \frac{- 4 (2 t)}{- 4}$

Cancel the common factors.

Factor $- 4$ out of $- 4$ .

$s = - \frac{r}{2} + \frac{- 4 (2 t)}{- 4 (1)}$

Cancel the common factor.

$s = - \frac{r}{2} + \frac{- 4 (2 t)}{- 4 \cdot 1}$

Rewrite the expression.

$s = - \frac{r}{2} + \frac{2 t}{1}$

Divide $2 t$ by $1$ .

$s = - \frac{r}{2} + 2 t$