Solve 8(-7+4)/6-6-4(-5)/9-(-4)=6

$$\frac { 8 ( - 7 + 4 ) } { 6 } - \frac { 6 - 4 ( - 5 ) } { 9 - ( - 4 ) } = 6$$

Verify

Solution Steps

Multiply both sides of the equation by 6.

$$8\left(-7+4\right)-\frac{6}{13}\left(6-4\left(-5\right)\right)=36$$

Add -7 and 4 to get -3.

$$8\left(-3\right)-\frac{6}{13}\left(6-4\left(-5\right)\right)=36$$

Multiply 8 and -3 to get -24.

$$-24-\frac{6}{13}\left(6-4\left(-5\right)\right)=36$$

Multiply 4 and -5 to get -20.

$$-24-\frac{6}{13}\left(6-\left(-20\right)\right)=36$$

The opposite of -20 is 20.

$$-24-\frac{6}{13}\left(6+20\right)=36$$

Add 6 and 20 to get 26.

$$-24-\frac{6}{13}\times 26=36$$

Express -\frac{6}{13}\times 26 as a single fraction.

$$-24+\frac{-6\times 26}{13}=36$$

Multiply -6 and 26 to get -156.

$$-24+\frac{-156}{13}=36$$

Divide -156 by 13 to get -12.

$$-24-12=36$$

Subtract 12 from -24 to get -36.

$$-36=36$$

Compare -36 and 36.

$$\text{false}$$