How to solve - 8/10 = x/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 - 8/10 = x/6 | Equatix

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$$-\frac{8}{10}=\frac{x}{6}$$

$x = -\frac{24}{5} = -4\frac{4}{5} = -4.8$

Multiply both sides of the equation by $30$, the least common multiple of $10,6$.

$$-3\times 8=5x$$

Multiply $-3$ and $8$ to get $-24$.

$$-24=5x$$

Swap sides so that all variable terms are on the left hand side.

$$5x=-24$$

Divide both sides by $5$.

$$x=\frac{-24}{5}$$

Fraction $\frac{-24}{5}$ can be rewritten as $-\frac{24}{5}$ by extracting the negative sign.

$$x=-\frac{24}{5}$$