Solve for s 5(1+s)=-9s+6

$5 (1 + s) = - 9 s + 6$

Step 1

Simplify $5 (1 + s)$ .

Rewrite.

$0 + 0 + 5 (1 + s) = - 9 s + 6$

Simplify by adding zeros.

$5 (1 + s) = - 9 s + 6$

Apply the distributive property.

$5 \cdot 1 + 5 s = - 9 s + 6$

Multiply $5$ by $1$ .

$5 + 5 s = - 9 s + 6$

Step 2

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

Add $9 s$ to both sides of the equation.

$5 + 5 s + 9 s = 6$

Add $5 s$ and $9 s$ .

$5 + 14 s = 6$

Step 3

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

Subtract $5$ from both sides of the equation.

$14 s = 6 - 5$

Subtract $5$ from $6$ .

$14 s = 1$

Step 4

Divide each term in $14 s = 1$ by $14$ and simplify.

Divide each term in $14 s = 1$ by $14$ .

$\frac{14 s}{14} = \frac{1}{14}$

Simplify the left side.

Cancel the common factor of $14$ .

Cancel the common factor.

$\frac{14 s}{14} = \frac{1}{14}$

Divide $s$ by $1$ .

$s = \frac{1}{14}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$s = \frac{1}{14}$

Decimal Form:

$s = 0.0\overline{714285}$