Solve (2,73+4,81+3,2x-2,81):(2/5-4/5)

$$( 2,73 + 4,81 + 3,2 x - 2,81 ) : ( \frac { 2 } { 5 } - \frac { 4 } { 5 } )$$

Evaluate

$$-8x-11,825$$

Solution Steps

Add 2,73 and 4,81 to get 7,54.

$$\frac{7,54+3,2x-2,81}{\frac{2}{5}-\frac{4}{5}}$$

Subtract 2,81 from 7,54 to get 4,73.

$$\frac{4,73+3,2x}{\frac{2}{5}-\frac{4}{5}}$$

Since \frac{2}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4,73+3,2x}{\frac{2-4}{5}}$$

Subtract 4 from 2 to get -2.

$$\frac{4,73+3,2x}{-\frac{2}{5}}$$

Divide 4,73+3,2x by -\frac{2}{5} by multiplying 4,73+3,2x by the reciprocal of -\frac{2}{5}.

$$\frac{\left(4,73+3,2x\right)\times 5}{-2}$$

Use the distributive property to multiply 4,73+3,2x by 5.

$$\frac{23,65+16x}{-2}$$

Multiply both numerator and denominator by -1.

$$\frac{-23,65-16x}{2}$$

Expand

$$-8x-11,825$$

Solution Steps

Add 2,73 and 4,81 to get 7,54.

$$\frac{7,54+3,2x-2,81}{\frac{2}{5}-\frac{4}{5}}$$

Subtract 2,81 from 7,54 to get 4,73.

$$\frac{4,73+3,2x}{\frac{2}{5}-\frac{4}{5}}$$

Since \frac{2}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4,73+3,2x}{\frac{2-4}{5}}$$

Subtract 4 from 2 to get -2.

$$\frac{4,73+3,2x}{-\frac{2}{5}}$$

Divide 4,73+3,2x by -\frac{2}{5} by multiplying 4,73+3,2x by the reciprocal of -\frac{2}{5}.

$$\frac{\left(4,73+3,2x\right)\times 5}{-2}$$

Use the distributive property to multiply 4,73+3,2x by 5.

$$\frac{23,65+16x}{-2}$$

Multiply both numerator and denominator by -1.

$$\frac{-23,65-16x}{2}$$