Solve for X (X+7)/9=8/5

$\frac{X + 7}{9} = \frac{8}{5}$

Step 1

Multiply both sides of the equation by $9$ .

$9 \frac{X + 7}{9} = 9 (\frac{8}{5})$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$9 \frac{X + 7}{9} = 9 (\frac{8}{5})$

Rewrite the expression.

$X + 7 = 9 (\frac{8}{5})$

Simplify the right side.

Multiply $9 (\frac{8}{5})$ .

Combine $9$ and $\frac{8}{5}$ .

$X + 7 = \frac{9 \cdot 8}{5}$

Multiply $9$ by $8$ .

$X + 7 = \frac{72}{5}$

Step 3

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

Subtract $7$ from both sides of the equation.

$X = \frac{72}{5} - 7$

To write $- 7$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$X = \frac{72}{5} - 7 \cdot \frac{5}{5}$

Combine $- 7$ and $\frac{5}{5}$ .

$X = \frac{72}{5} + \frac{- 7 \cdot 5}{5}$

Combine the numerators over the common denominator.

$X = \frac{72 - 7 \cdot 5}{5}$

Simplify the numerator.

Multiply $- 7$ by $5$ .

$X = \frac{72 - 35}{5}$

Subtract $35$ from $72$ .

$X = \frac{37}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$X = \frac{37}{5}$

Decimal Form:

$X = 7.4$

Mixed Number Form:

$X = 7 \frac{2}{5}$