Solve 8x-9/100+7x-2/25-3+2x/30

$$\frac{ 8x-9 }{ 100 } + \frac{ 7x-2 }{ 25 } - \frac{ 3+2x }{ 30 }$$

Evaluate

$$\frac{22x}{75}-\frac{27}{100}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 100 and 25 is 100. Multiply \frac{7x-2}{25} times \frac{4}{4}.

$$\frac{8x-9}{100}+\frac{4\left(7x-2\right)}{100}-\frac{3+2x}{30}$$

Since \frac{8x-9}{100} and \frac{4\left(7x-2\right)}{100} have the same denominator, add them by adding their numerators.

$$\frac{8x-9+4\left(7x-2\right)}{100}-\frac{3+2x}{30}$$

Do the multiplications in 8x-9+4\left(7x-2\right).

$$\frac{8x-9+28x-8}{100}-\frac{3+2x}{30}$$

Combine like terms in 8x-9+28x-8.

$$\frac{36x-17}{100}-\frac{3+2x}{30}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 100 and 30 is 300. Multiply \frac{36x-17}{100} times \frac{3}{3}. Multiply \frac{3+2x}{30} times \frac{10}{10}.

$$\frac{3\left(36x-17\right)}{300}-\frac{10\left(3+2x\right)}{300}$$

Since \frac{3\left(36x-17\right)}{300} and \frac{10\left(3+2x\right)}{300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\left(36x-17\right)-10\left(3+2x\right)}{300}$$

Do the multiplications in 3\left(36x-17\right)-10\left(3+2x\right).

$$\frac{108x-51-30-20x}{300}$$

Combine like terms in 108x-51-30-20x.

$$\frac{88x-81}{300}$$

Expand

$$\frac{22x}{75}-\frac{27}{100}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 100 and 25 is 100. Multiply \frac{7x-2}{25} times \frac{4}{4}.

$$\frac{8x-9}{100}+\frac{4\left(7x-2\right)}{100}-\frac{3+2x}{30}$$

Since \frac{8x-9}{100} and \frac{4\left(7x-2\right)}{100} have the same denominator, add them by adding their numerators.

$$\frac{8x-9+4\left(7x-2\right)}{100}-\frac{3+2x}{30}$$

Do the multiplications in 8x-9+4\left(7x-2\right).

$$\frac{8x-9+28x-8}{100}-\frac{3+2x}{30}$$

Combine like terms in 8x-9+28x-8.

$$\frac{36x-17}{100}-\frac{3+2x}{30}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 100 and 30 is 300. Multiply \frac{36x-17}{100} times \frac{3}{3}. Multiply \frac{3+2x}{30} times \frac{10}{10}.

$$\frac{3\left(36x-17\right)}{300}-\frac{10\left(3+2x\right)}{300}$$

Since \frac{3\left(36x-17\right)}{300} and \frac{10\left(3+2x\right)}{300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\left(36x-17\right)-10\left(3+2x\right)}{300}$$

Do the multiplications in 3\left(36x-17\right)-10\left(3+2x\right).

$$\frac{108x-51-30-20x}{300}$$

Combine like terms in 108x-51-30-20x.

$$\frac{88x-81}{300}$$