Solve for x 5(x+2)+1=26

$5 (x + 2) + 1 = 26$

Step 1

Simplify $5 (x + 2) + 1$ .

Simplify each term.

Apply the distributive property.

$5 x + 5 \cdot 2 + 1 = 26$

Multiply $5$ by $2$ .

$5 x + 10 + 1 = 26$

Add $10$ and $1$ .

$5 x + 11 = 26$

Step 2

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

Subtract $11$ from both sides of the equation.

$5 x = 26 - 11$

Subtract $11$ from $26$ .

$5 x = 15$

Step 3

Divide each term in $5 x = 15$ by $5$ and simplify.

Divide each term in $5 x = 15$ by $5$ .

$\frac{5 x}{5} = \frac{15}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{15}{5}$

Divide $x$ by $1$ .

$x = \frac{15}{5}$

Simplify the right side.

Divide $15$ by $5$ .

$x = 3$