Solve for s 48s-46s+3s-2s+9=42

$48 s - 46 s + 3 s - 2 s + 9 = 42$

Step 1

Simplify $48 s - 46 s + 3 s - 2 s + 9$ .

Subtract $46 s$ from $48 s$ .

$2 s + 3 s - 2 s + 9 = 42$

Combine the opposite terms in $2 s + 3 s - 2 s + 9$ .

Subtract $2 s$ from $2 s$ .

$3 s + 0 + 9 = 42$

Add $3 s$ and $0$ .

$3 s + 9 = 42$

Step 2

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

Subtract $9$ from both sides of the equation.

$3 s = 42 - 9$

Subtract $9$ from $42$ .

$3 s = 33$

Step 3

Divide each term in $3 s = 33$ by $3$ and simplify.

Divide each term in $3 s = 33$ by $3$ .

$\frac{3 s}{3} = \frac{33}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 s}{3} = \frac{33}{3}$

Divide $s$ by $1$ .

$s = \frac{33}{3}$

Simplify the right side.

Divide $33$ by $3$ .

$s = 11$