Solve for x (8x)/7+9=30

$\frac{8 x}{7} + 9 = 30$

Step 1

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

Subtract $9$ from both sides of the equation.

$\frac{8 x}{7} = 30 - 9$

Subtract $9$ from $30$ .

$\frac{8 x}{7} = 21$

Step 2

Multiply both sides of the equation by $\frac{7}{8}$ .

$\frac{7}{8} \cdot \frac{8 x}{7} = \frac{7}{8} \cdot 21$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{7}{8} \cdot \frac{8 x}{7}$ .

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7}{8} \cdot \frac{8 x}{7} = \frac{7}{8} \cdot 21$

Rewrite the expression.

$\frac{1}{8} (8 x) = \frac{7}{8} \cdot 21$

Cancel the common factor of $8$ .

Factor $8$ out of $8 x$ .

$\frac{1}{8} (8 (x)) = \frac{7}{8} \cdot 21$

Cancel the common factor.

$\frac{1}{8} (8 x) = \frac{7}{8} \cdot 21$

Rewrite the expression.

$x = \frac{7}{8} \cdot 21$

Simplify the right side.

Multiply $\frac{7}{8} \cdot 21$ .

Combine $\frac{7}{8}$ and $21$ .

$x = \frac{7 \cdot 21}{8}$

Multiply $7$ by $21$ .

$x = \frac{147}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{147}{8}$

Decimal Form:

$x = 18.375$

Mixed Number Form:

$x = 18 \frac{3}{8}$