How to solve (8x - 3)/(3x) = 2

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 (8x - 3)/(3x) = 2 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

$$\frac{8x-3}{3x}=2$$

$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$

Variable $x$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $3x$.

$$8x-3=6x$$

Subtract $6x$ from both sides.

$$8x-3-6x=0$$

Combine $8x$ and $-6x$ to get $2x$.

$$2x-3=0$$

Add $3$ to both sides. Anything plus zero gives itself.

$$2x=3$$

Divide both sides by $2$.

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