Solve for x 10=3/5(x+5)

$10 = \frac{3}{5} (x + 5)$

Step 1

Rewrite the equation as $\frac{3}{5} \cdot (x + 5) = 10$ .

$\frac{3}{5} \cdot (x + 5) = 10$

Step 2

Multiply both sides of the equation by $\frac{5}{3}$ .

$\frac{5}{3} (\frac{3}{5} \cdot (x + 5)) = \frac{5}{3} \cdot 10$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{3} (\frac{3}{5} \cdot (x + 5))$ .

Apply the distributive property.

$\frac{5}{3} (\frac{3}{5} x + \frac{3}{5} \cdot 5) = \frac{5}{3} \cdot 10$

Combine $\frac{3}{5}$ and $x$ .

$\frac{5}{3} (\frac{3 x}{5} + \frac{3}{5} \cdot 5) = \frac{5}{3} \cdot 10$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{3} (\frac{3 x}{5} + \frac{3}{5} \cdot 5) = \frac{5}{3} \cdot 10$

Rewrite the expression.

$\frac{5}{3} (\frac{3 x}{5} + 3) = \frac{5}{3} \cdot 10$

Apply the distributive property.

$\frac{5}{3} \cdot \frac{3 x}{5} + \frac{5}{3} \cdot 3 = \frac{5}{3} \cdot 10$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{3} \cdot \frac{3 x}{5} + \frac{5}{3} \cdot 3 = \frac{5}{3} \cdot 10$

Rewrite the expression.

$\frac{1}{3} (3 x) + \frac{5}{3} \cdot 3 = \frac{5}{3} \cdot 10$

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) + \frac{5}{3} \cdot 3 = \frac{5}{3} \cdot 10$

Cancel the common factor.

$\frac{1}{3} (3 x) + \frac{5}{3} \cdot 3 = \frac{5}{3} \cdot 10$

Rewrite the expression.

$x + \frac{5}{3} \cdot 3 = \frac{5}{3} \cdot 10$

Cancel the common factor of $3$ .

Cancel the common factor.

$x + \frac{5}{3} \cdot 3 = \frac{5}{3} \cdot 10$

Rewrite the expression.

$x + 5 = \frac{5}{3} \cdot 10$

Simplify the right side.

Multiply $\frac{5}{3} \cdot 10$ .

Combine $\frac{5}{3}$ and $10$ .

$x + 5 = \frac{5 \cdot 10}{3}$

Multiply $5$ by $10$ .

$x + 5 = \frac{50}{3}$

Step 4

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

Subtract $5$ from both sides of the equation.

$x = \frac{50}{3} - 5$

To write $- 5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$x = \frac{50}{3} - 5 \cdot \frac{3}{3}$

Combine $- 5$ and $\frac{3}{3}$ .

$x = \frac{50}{3} + \frac{- 5 \cdot 3}{3}$

Combine the numerators over the common denominator.

$x = \frac{50 - 5 \cdot 3}{3}$

Simplify the numerator.

Multiply $- 5$ by $3$ .

$x = \frac{50 - 15}{3}$

Subtract $15$ from $50$ .

$x = \frac{35}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{35}{3}$

Decimal Form:

$x = 11.\overline{6}$

Mixed Number Form:

$x = 11 \frac{2}{3}$

Solve for x 10=3/5(x+5)

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