How to solve 5/2 - x = 3x

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 5/2 - x = 3x | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

$$\frac{5}{2}-x=3x$$

$x=\frac{5}{8}=0.625$

Subtract $3x$ from both sides.

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

Combine $-x$ and $-3x$ to get $-4x$.

$$\frac{5}{2}-4x=0$$

Subtract $\frac{5}{2}$ from both sides. Anything subtracted from zero gives its negation.

$$-4x=-\frac{5}{2}$$

Divide both sides by $-4$.

$$x=\frac{-\frac{5}{2}}{-4}$$

Express $\frac{-\frac{5}{2}}{-4}$ as a single fraction.

$$x=\frac{-5}{2\left(-4\right)}$$

Multiply $2$ and $-4$ to get $-8$.

$$x=\frac{-5}{-8}$$

Fraction $\frac{-5}{-8}$ can be simplified to $\frac{5}{8}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{5}{8}$$