Solve 3/1+frac{3{x}}=2

$$\frac { 3 } { 1 + \frac { 3 } { x } } = 2$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x}{x}.

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

Since \frac{x}{x} and \frac{3}{x} have the same denominator, add them by adding their numerators.

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

Variable x cannot be equal to 0 since division by zero is not defined. Divide 3 by \frac{x+3}{x} by multiplying 3 by the reciprocal of \frac{x+3}{x}.

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

Variable x cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by x+3.

$$3x=2\left(x+3\right)$$

Use the distributive property to multiply 2 by x+3.

$$3x=2x+6$$

Subtract 2x from both sides.

$$3x-2x=6$$

Combine 3x and -2x to get x.

$$x=6$$