How to solve (5)/(6)-x=(2)/(6)

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)/(6)-x=(2)/(6) | Equatix

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$$\frac{ 5 }{ 6 } -x= \frac{ 2 }{ 6 }$$

$x=\frac{1}{2}=0.5$

Reduce the fraction $\frac{2}{6}$ to lowest terms by extracting and canceling out $2$.

$$\frac{5}{6}-x=\frac{1}{3}$$

Subtract $\frac{5}{6}$ from both sides.

$$-x=\frac{1}{3}-\frac{5}{6}$$

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

$$-x=\frac{2}{6}-\frac{5}{6}$$

Since $\frac{2}{6}$ and $\frac{5}{6}$ have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{2-5}{6}$$

Subtract $5$ from $2$ to get $-3$.

$$-x=\frac{-3}{6}$$

Reduce the fraction $\frac{-3}{6}$ to lowest terms by extracting and canceling out $3$.

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

Multiply both sides by $-1$.

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