How to solve x + 5/2 = 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 x + 5/2 = 1/3 | Equatix

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$$\quad x + \frac { 5 } { 2 } = \frac { 1 } { 3 }$$

$x = -\frac{13}{6} = -2\frac{1}{6} \approx -2.166666667$

Subtract $\frac{5}{2}$ from both sides.

$$x=\frac{1}{3}-\frac{5}{2}$$

Least common multiple of $3$ and $2$ is $6$. Convert $\frac{1}{3}$ and $\frac{5}{2}$ to fractions with denominator $6$.

$$x=\frac{2}{6}-\frac{15}{6}$$

Since $\frac{2}{6}$ and $\frac{15}{6}$ have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{2-15}{6}$$

Subtract $15$ from $2$ to get $-13$.

$$x=-\frac{13}{6}$$