How to solve (2x)/(3x + 1) = 3

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (2x)/(3x + 1) = 3 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

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

$x=-\frac{3}{7}\approx -0.428571429$

Variable $x$ cannot be equal to $-\frac{1}{3}$ since division by zero is not defined. Multiply both sides of the equation by $3x+1$.

$$2x=3\left(3x+1\right)$$

Use the distributive property to multiply $3$ by $3x+1$.

$$2x=9x+3$$

Subtract $9x$ from both sides.

$$2x-9x=3$$

Combine $2x$ and $-9x$ to get $-7x$.

$$-7x=3$$

Divide both sides by $-7$.

$$x=\frac{3}{-7}$$

Fraction $\frac{3}{-7}$ can be rewritten as $-\frac{3}{7}$ by extracting the negative sign.

$$x=-\frac{3}{7}$$