Solve for x 9+4(x+1)=25

$9 + 4 (x + 1) = 25$

Step 1

Simplify $9 + 4 (x + 1)$ .

Simplify each term.

Apply the distributive property.

$9 + 4 x + 4 \cdot 1 = 25$

Multiply $4$ by $1$ .

$9 + 4 x + 4 = 25$

Add $9$ and $4$ .

$4 x + 13 = 25$

Step 2

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

Subtract $13$ from both sides of the equation.

$4 x = 25 - 13$

Subtract $13$ from $25$ .

$4 x = 12$

Step 3

Divide each term in $4 x = 12$ by $4$ and simplify.

Divide each term in $4 x = 12$ by $4$ .

$\frac{4 x}{4} = \frac{12}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{12}{4}$

Divide $x$ by $1$ .

$x = \frac{12}{4}$

Simplify the right side.

Divide $12$ by $4$ .

$x = 3$