Solve for x 7(x+1)=21

$7 (x + 1) = 21$

Step 1

Divide each term in $7 (x + 1) = 21$ by $7$ and simplify.

Divide each term in $7 (x + 1) = 21$ by $7$ .

$\frac{7 (x + 1)}{7} = \frac{21}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 (x + 1)}{7} = \frac{21}{7}$

Divide $x + 1$ by $1$ .

$x + 1 = \frac{21}{7}$

Simplify the right side.

Divide $21$ by $7$ .

$x + 1 = 3$

Step 2

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

Subtract $1$ from both sides of the equation.

$x = 3 - 1$

Subtract $1$ from $3$ .

$x = 2$