How to solve x - 2/5 - 2/3

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 - 2/5 - 2/3 | Equatix

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Question

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

Evaluate

$x = -\frac{16}{15} = -1\frac{1}{15} = -1.0666666666666667$

Solution Steps

Least common multiple of $5$ and $3$ is $15$. Convert $-\frac{2}{5}$ and $\frac{2}{3}$ to fractions with denominator $15$.

$$x-\frac{6}{15}-\frac{10}{15}$$

Since $-\frac{6}{15}$ and $\frac{10}{15}$ have the same denominator, subtract them by subtracting their numerators.

$$x+\frac{-6-10}{15}$$

Subtract $10$ from $-6$ to get $-16$.

$$x-\frac{16}{15}$$

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Factor

$\frac{15x-16}{15}$

Solution Steps

Factor out $\frac{1}{15}$.

$$\frac{15x-16}{15}$$

Consider $15x-6-10$. Multiply and combine like terms.

$$15x-16$$

Rewrite the complete factored expression.

$$\frac{15x-16}{15}$$

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