Solve for x (x+3)/5+2x=0

$\frac{x + 3}{5} + 2 x = 0$

Step 1

Simplify $\frac{x + 3}{5} + 2 x$ .

To write $2 x$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{x + 3}{5} + 2 x \cdot \frac{5}{5} = 0$

Simplify terms.

Combine $2 x$ and $\frac{5}{5}$ .

$\frac{x + 3}{5} + \frac{2 x \cdot 5}{5} = 0$

Combine the numerators over the common denominator.

$\frac{x + 3 + 2 x \cdot 5}{5} = 0$

Simplify the numerator.

Multiply $5$ by $2$ .

$\frac{x + 3 + 10 x}{5} = 0$

Add $x$ and $10 x$ .

$\frac{11 x + 3}{5} = 0$

Step 2

Set the numerator equal to zero.

$11 x + 3 = 0$

Step 3

Solve the equation for $x$ .

Subtract $3$ from both sides of the equation.

$11 x = - 3$

Divide each term in $11 x = - 3$ by $11$ and simplify.

Divide each term in $11 x = - 3$ by $11$ .

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

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 0.\overline{27}$