Solve for h 4h+9=3+(-h+46)

$4 h + 9 = 3 + (- h + 46)$

Step 1

Add $3$ and $46$ .

$4 h + 9 = - h + 49$

Step 2

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

Add $h$ to both sides of the equation.

$4 h + 9 + h = 49$

Add $4 h$ and $h$ .

$5 h + 9 = 49$

Step 3

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

Subtract $9$ from both sides of the equation.

$5 h = 49 - 9$

Subtract $9$ from $49$ .

$5 h = 40$

Step 4

Divide each term in $5 h = 40$ by $5$ and simplify.

Divide each term in $5 h = 40$ by $5$ .

$\frac{5 h}{5} = \frac{40}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 h}{5} = \frac{40}{5}$

Divide $h$ by $1$ .

$h = \frac{40}{5}$

Simplify the right side.

Divide $40$ by $5$ .

$h = 8$