Solve for x 9=8/5(x+5)

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

Step 1

Rewrite the equation as $\frac{8}{5} \cdot (x + 5) = 9$ .

$\frac{8}{5} \cdot (x + 5) = 9$

Step 2

Multiply both sides of the equation by $\frac{5}{8}$ .

$\frac{5}{8} (\frac{8}{5} \cdot (x + 5)) = \frac{5}{8} \cdot 9$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{8} (\frac{8}{5} \cdot (x + 5))$ .

Apply the distributive property.

$\frac{5}{8} (\frac{8}{5} x + \frac{8}{5} \cdot 5) = \frac{5}{8} \cdot 9$

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

$\frac{5}{8} (\frac{8 x}{5} + \frac{8}{5} \cdot 5) = \frac{5}{8} \cdot 9$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{8} (\frac{8 x}{5} + \frac{8}{5} \cdot 5) = \frac{5}{8} \cdot 9$

Rewrite the expression.

$\frac{5}{8} (\frac{8 x}{5} + 8) = \frac{5}{8} \cdot 9$

Apply the distributive property.

$\frac{5}{8} \cdot \frac{8 x}{5} + \frac{5}{8} \cdot 8 = \frac{5}{8} \cdot 9$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{8} \cdot \frac{8 x}{5} + \frac{5}{8} \cdot 8 = \frac{5}{8} \cdot 9$

Rewrite the expression.

$\frac{1}{8} (8 x) + \frac{5}{8} \cdot 8 = \frac{5}{8} \cdot 9$

Cancel the common factor of $8$ .

Factor $8$ out of $8 x$ .

$\frac{1}{8} (8 (x)) + \frac{5}{8} \cdot 8 = \frac{5}{8} \cdot 9$

Cancel the common factor.

$\frac{1}{8} (8 x) + \frac{5}{8} \cdot 8 = \frac{5}{8} \cdot 9$

Rewrite the expression.

$x + \frac{5}{8} \cdot 8 = \frac{5}{8} \cdot 9$

Cancel the common factor of $8$ .

Cancel the common factor.

$x + \frac{5}{8} \cdot 8 = \frac{5}{8} \cdot 9$

Rewrite the expression.

$x + 5 = \frac{5}{8} \cdot 9$

Simplify the right side.

Multiply $\frac{5}{8} \cdot 9$ .

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

$x + 5 = \frac{5 \cdot 9}{8}$

Multiply $5$ by $9$ .

$x + 5 = \frac{45}{8}$

Step 4

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

Subtract $5$ from both sides of the equation.

$x = \frac{45}{8} - 5$

To write $- 5$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$x = \frac{45}{8} - 5 \cdot \frac{8}{8}$

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

$x = \frac{45}{8} + \frac{- 5 \cdot 8}{8}$

Combine the numerators over the common denominator.

$x = \frac{45 - 5 \cdot 8}{8}$

Simplify the numerator.

Multiply $- 5$ by $8$ .

$x = \frac{45 - 40}{8}$

Subtract $40$ from $45$ .

$x = \frac{5}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{5}{8}$

Decimal Form:

$x = 0.625$

Solve for x 9=8/5(x+5)

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