Evaluate 4(x+2)-17=35

$4 (x + 2) - 17 = 35$

Simplify $4 (x + 2) - 17$ .

Simplify each term.

Apply the distributive property.

$4 x + 4 \cdot 2 - 17 = 35$

Multiply $4$ by $2$ .

$4 x + 8 - 17 = 35$

Subtract $17$ from $8$ .

$4 x - 9 = 35$

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

Add $9$ to both sides of the equation.

$4 x = 35 + 9$

Add $35$ and $9$ .

$4 x = 44$

Divide each term in $4 x = 44$ by $4$ and simplify.

Divide each term in $4 x = 44$ by $4$ .

$\frac{4 x}{4} = \frac{44}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{44}{4}$

Divide $x$ by $1$ .

$x = \frac{44}{4}$

Simplify the right side.

Divide $44$ by $4$ .

$x = 11$