Solve 1/7 * x - 2/3 - 3/7 * x - 1/21 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{1}{7}x-\frac{2}{3}-\frac{3}{7}x-\frac{1}{21}$$

Evaluate

$\frac{-2x-5}{7}$

Solution Steps

Combine $\frac{1}{7}x$ and $-\frac{3}{7}x$ to get $-\frac{2}{7}x$.

$$-\frac{2}{7}x-\frac{2}{3}-\frac{1}{21}$$

Least common multiple of $3$ and $21$ is $21$. Convert $-\frac{2}{3}$ and $\frac{1}{21}$ to fractions with denominator $21$.

$$-\frac{2}{7}x-\frac{14}{21}-\frac{1}{21}$$

Since $-\frac{14}{21}$ and $\frac{1}{21}$ have the same denominator, subtract them by subtracting their numerators.

$$-\frac{2}{7}x+\frac{-14-1}{21}$$

Subtract $1$ from $-14$ to get $-15$.

$$-\frac{2}{7}x+\frac{-15}{21}$$

Reduce the fraction $\frac{-15}{21}$ to lowest terms by extracting and canceling out $3$.

$$-\frac{2}{7}x-\frac{5}{7}$$

Factor

$\frac{-2x-5}{7}$

Solution Steps

Factor out $\frac{1}{21}$.

$$\frac{-6x-15}{21}$$

Consider $3x-14-9x-1$. Multiply and combine like terms.

$$-6x-15$$

Consider $-6x-15$. Factor out $3$.

$$3\left(-2x-5\right)$$

Rewrite the complete factored expression.

$$\frac{-2x-5}{7}$$