Solve for x 3x+9=44-2x

$3 x + 9 = 44 - 2 x$

Step 1

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

Add $2 x$ to both sides of the equation.

$3 x + 9 + 2 x = 44$

Add $3 x$ and $2 x$ .

$5 x + 9 = 44$

Step 2

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

Subtract $9$ from both sides of the equation.

$5 x = 44 - 9$

Subtract $9$ from $44$ .

$5 x = 35$

Step 3

Divide each term in $5 x = 35$ by $5$ and simplify.

Divide each term in $5 x = 35$ by $5$ .

$\frac{5 x}{5} = \frac{35}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{35}{5}$

Divide $x$ by $1$ .

$x = \frac{35}{5}$

Simplify the right side.

Divide $35$ by $5$ .

$x = 7$