Solve for x 9(x+1/7)=18

$9 (x + \frac{1}{7}) = 18$

Divide each term in $9 (x + \frac{1}{7}) = 18$ by $9$ and simplify.

Divide each term in $9 (x + \frac{1}{7}) = 18$ by $9$ .

$\frac{9 (x + \frac{1}{7})}{9} = \frac{18}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 (x + \frac{1}{7})}{9} = \frac{18}{9}$

Divide $x + \frac{1}{7}$ by $1$ .

$x + \frac{1}{7} = \frac{18}{9}$

Simplify the right side.

Divide $18$ by $9$ .

$x + \frac{1}{7} = 2$

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

Subtract $\frac{1}{7}$ from both sides of the equation.

$x = 2 - \frac{1}{7}$

To write $2$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$x = 2 \cdot \frac{7}{7} - \frac{1}{7}$

Combine $2$ and $\frac{7}{7}$ .

$x = \frac{2 \cdot 7}{7} - \frac{1}{7}$

Combine the numerators over the common denominator.

$x = \frac{2 \cdot 7 - 1}{7}$

Simplify the numerator.

Multiply $2$ by $7$ .

$x = \frac{14 - 1}{7}$

Subtract $1$ from $14$ .

$x = \frac{13}{7}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{13}{7}$

Decimal Form:

$x = 1.\overline{857142}$

Mixed Number Form:

$x = 1 \frac{6}{7}$