Solve 3(-27/7+5)=2(-6-(-27/7))-2(-27/7)

$$3 ( - \frac { 27 } { 7 } + 5 ) = 2 ( - 6 - ( - \frac { 27 } { 7 } ) ) - 2 ( - \frac { 27 } { 7 } )$$

Verify

Solution Steps

Convert 5 to fraction \frac{35}{7}.

$$3\left(-\frac{27}{7}+\frac{35}{7}\right)=2\left(-6-\left(-\frac{27}{7}\right)\right)-2\left(-\frac{27}{7}\right)$$

Since -\frac{27}{7} and \frac{35}{7} have the same denominator, add them by adding their numerators.

$$3\times \frac{-27+35}{7}=2\left(-6-\left(-\frac{27}{7}\right)\right)-2\left(-\frac{27}{7}\right)$$

Add -27 and 35 to get 8.

$$3\times \frac{8}{7}=2\left(-6-\left(-\frac{27}{7}\right)\right)-2\left(-\frac{27}{7}\right)$$

Express 3\times \frac{8}{7} as a single fraction.

$$\frac{3\times 8}{7}=2\left(-6-\left(-\frac{27}{7}\right)\right)-2\left(-\frac{27}{7}\right)$$

Multiply 3 and 8 to get 24.

$$\frac{24}{7}=2\left(-6-\left(-\frac{27}{7}\right)\right)-2\left(-\frac{27}{7}\right)$$

The opposite of -\frac{27}{7} is \frac{27}{7}.

$$\frac{24}{7}=2\left(-6+\frac{27}{7}\right)-2\left(-\frac{27}{7}\right)$$

Convert -6 to fraction -\frac{42}{7}.

$$\frac{24}{7}=2\left(-\frac{42}{7}+\frac{27}{7}\right)-2\left(-\frac{27}{7}\right)$$

Since -\frac{42}{7} and \frac{27}{7} have the same denominator, add them by adding their numerators.

$$\frac{24}{7}=2\times \frac{-42+27}{7}-2\left(-\frac{27}{7}\right)$$

Add -42 and 27 to get -15.

$$\frac{24}{7}=2\left(-\frac{15}{7}\right)-2\left(-\frac{27}{7}\right)$$

Express 2\left(-\frac{15}{7}\right) as a single fraction.

$$\frac{24}{7}=\frac{2\left(-15\right)}{7}-2\left(-\frac{27}{7}\right)$$

Multiply 2 and -15 to get -30.

$$\frac{24}{7}=\frac{-30}{7}-2\left(-\frac{27}{7}\right)$$

Fraction \frac{-30}{7} can be rewritten as -\frac{30}{7} by extracting the negative sign.

$$\frac{24}{7}=-\frac{30}{7}-2\left(-\frac{27}{7}\right)$$

Express 2\left(-\frac{27}{7}\right) as a single fraction.

$$\frac{24}{7}=-\frac{30}{7}-\frac{2\left(-27\right)}{7}$$

Multiply 2 and -27 to get -54.

$$\frac{24}{7}=-\frac{30}{7}-\frac{-54}{7}$$

Fraction \frac{-54}{7} can be rewritten as -\frac{54}{7} by extracting the negative sign.

$$\frac{24}{7}=-\frac{30}{7}-\left(-\frac{54}{7}\right)$$

The opposite of -\frac{54}{7} is \frac{54}{7}.

$$\frac{24}{7}=-\frac{30}{7}+\frac{54}{7}$$

Since -\frac{30}{7} and \frac{54}{7} have the same denominator, add them by adding their numerators.

$$\frac{24}{7}=\frac{-30+54}{7}$$

Add -30 and 54 to get 24.

$$\frac{24}{7}=\frac{24}{7}$$

Compare \frac{24}{7} and \frac{24}{7}.

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