Solve 5x-(2,7-8x)-61/4

$$5 x - ( 2,7 - 8 x ) - 6 \frac { 1 } { 4 }$$

Evaluate

$$13x-8,95$$

Solution Steps

Multiply 6 and 4 to get 24.

$$5x-\left(2,7-8x\right)-\frac{24+1}{4}$$

Add 24 and 1 to get 25.

$$5x-\left(2,7-8x\right)-\frac{25}{4}$$

To find the opposite of 2,7-8x, find the opposite of each term.

$$5x-2,7-\left(-8x\right)-\frac{25}{4}$$

The opposite of -8x is 8x.

$$5x-2,7+8x-\frac{25}{4}$$

Combine 5x and 8x to get 13x.

$$13x-2,7-\frac{25}{4}$$

Convert decimal number -2,7 to fraction -\frac{27}{10}.

$$13x-\frac{27}{10}-\frac{25}{4}$$

Least common multiple of 10 and 4 is 20. Convert -\frac{27}{10} and \frac{25}{4} to fractions with denominator 20.

$$13x-\frac{54}{20}-\frac{125}{20}$$

Since -\frac{54}{20} and \frac{125}{20} have the same denominator, subtract them by subtracting their numerators.

$$13x+\frac{-54-125}{20}$$

Subtract 125 from -54 to get -179.

$$13x-\frac{179}{20}$$

Expand

$$13x-8,95$$

Solution Steps

Multiply 6 and 4 to get 24.

$$5x-\left(2,7-8x\right)-\frac{24+1}{4}$$

Add 24 and 1 to get 25.

$$5x-\left(2,7-8x\right)-\frac{25}{4}$$

To find the opposite of 2,7-8x, find the opposite of each term.

$$5x-2,7-\left(-8x\right)-\frac{25}{4}$$

The opposite of -8x is 8x.

$$5x-2,7+8x-\frac{25}{4}$$

Combine 5x and 8x to get 13x.

$$13x-2,7-\frac{25}{4}$$

Convert decimal number -2,7 to fraction -\frac{27}{10}.

$$13x-\frac{27}{10}-\frac{25}{4}$$

Least common multiple of 10 and 4 is 20. Convert -\frac{27}{10} and \frac{25}{4} to fractions with denominator 20.

$$13x-\frac{54}{20}-\frac{125}{20}$$

Since -\frac{54}{20} and \frac{125}{20} have the same denominator, subtract them by subtracting their numerators.

$$13x+\frac{-54-125}{20}$$

Subtract 125 from -54 to get -179.

$$13x-\frac{179}{20}$$