Solve -6*4(-8/8)+1/8-1/4=-8/5+frac{6-3(frac{8}{5})}{2}

$$- 6 \cdot \frac { 4 ( - \frac { 8 } { 8 } ) + 1 } { 8 } - \frac { 1 } { 4 } = - \frac { 8 } { 5 } + \frac { 6 - 3 ( \frac { 8 } { 5 } ) } { 2 }$$

Verify

Solution Steps

Multiply both sides of the equation by 40, the least common multiple of 8,4,5,2.

$$-30\left(4\left(-\frac{8}{8}\right)+1\right)-10=-64+20\left(6-3\times \frac{8}{5}\right)$$

Divide 8 by 8 to get 1.

$$-30\left(4\left(-1\right)+1\right)-10=-64+20\left(6-3\times \frac{8}{5}\right)$$

Multiply 4 and -1 to get -4.

$$-30\left(-4+1\right)-10=-64+20\left(6-3\times \frac{8}{5}\right)$$

Add -4 and 1 to get -3.

$$-30\left(-3\right)-10=-64+20\left(6-3\times \frac{8}{5}\right)$$

Multiply -30 and -3 to get 90.

$$90-10=-64+20\left(6-3\times \frac{8}{5}\right)$$

Subtract 10 from 90 to get 80.

$$80=-64+20\left(6-3\times \frac{8}{5}\right)$$

Express 3\times \frac{8}{5} as a single fraction.

$$80=-64+20\left(6-\frac{3\times 8}{5}\right)$$

Multiply 3 and 8 to get 24.

$$80=-64+20\left(6-\frac{24}{5}\right)$$

Convert 6 to fraction \frac{30}{5}.

$$80=-64+20\left(\frac{30}{5}-\frac{24}{5}\right)$$

Since \frac{30}{5} and \frac{24}{5} have the same denominator, subtract them by subtracting their numerators.

$$80=-64+20\times \frac{30-24}{5}$$

Subtract 24 from 30 to get 6.

$$80=-64+20\times \frac{6}{5}$$

Express 20\times \frac{6}{5} as a single fraction.

$$80=-64+\frac{20\times 6}{5}$$

Multiply 20 and 6 to get 120.

$$80=-64+\frac{120}{5}$$

Divide 120 by 5 to get 24.

$$80=-64+24$$

Add -64 and 24 to get -40.

$$80=-40$$

Compare 80 and -40.

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