How to solve x-x-5/5=x/5+4/3

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-x-5/5=x/5+4/3 | Equatix

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$$x-x-5/5=x/5+4/3$$

$x = -\frac{35}{3} = -11\frac{2}{3} \approx -11.666666667$

Multiply both sides of the equation by $15$, the least common multiple of $5,3$.

$$15x-15x-3\times 5=3x+20$$

Combine $15x$ and $-15x$ to get $0$.

$$-3\times 5=3x+20$$

Multiply $-3$ and $5$ to get $-15$.

$$-15=3x+20$$

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

$$3x+20=-15$$

Subtract $20$ from both sides.

$$3x=-15-20$$

Subtract $20$ from $-15$ to get $-35$.

$$3x=-35$$

Divide both sides by $3$.

$$x=\frac{-35}{3}$$

Fraction $\frac{-35}{3}$ can be rewritten as $-\frac{35}{3}$ by extracting the negative sign.

$$x=-\frac{35}{3}$$