Solve 8x-20/5+9x+40/8-4x+50/10=

$$\frac{ 8x-20 }{ 5 } + \frac{ 9x+40 }{ 8 } - \frac{ 4x+50 }{ 10 } =$$

Evaluate

$$\frac{93x}{40}-4$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 8 is 40. Multiply \frac{8x-20}{5} times \frac{8}{8}. Multiply \frac{9x+40}{8} times \frac{5}{5}.

$$\frac{8\left(8x-20\right)}{40}+\frac{5\left(9x+40\right)}{40}-\frac{4x+50}{10}$$

Since \frac{8\left(8x-20\right)}{40} and \frac{5\left(9x+40\right)}{40} have the same denominator, add them by adding their numerators.

$$\frac{8\left(8x-20\right)+5\left(9x+40\right)}{40}-\frac{4x+50}{10}$$

Do the multiplications in 8\left(8x-20\right)+5\left(9x+40\right).

$$\frac{64x-160+45x+200}{40}-\frac{4x+50}{10}$$

Combine like terms in 64x-160+45x+200.

$$\frac{109x+40}{40}-\frac{4x+50}{10}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 40 and 10 is 40. Multiply \frac{4x+50}{10} times \frac{4}{4}.

$$\frac{109x+40}{40}-\frac{4\left(4x+50\right)}{40}$$

Since \frac{109x+40}{40} and \frac{4\left(4x+50\right)}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{109x+40-4\left(4x+50\right)}{40}$$

Do the multiplications in 109x+40-4\left(4x+50\right).

$$\frac{109x+40-16x-200}{40}$$

Combine like terms in 109x+40-16x-200.

$$\frac{93x-160}{40}$$

Expand

$$\frac{93x}{40}-4$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 8 is 40. Multiply \frac{8x-20}{5} times \frac{8}{8}. Multiply \frac{9x+40}{8} times \frac{5}{5}.

$$\frac{8\left(8x-20\right)}{40}+\frac{5\left(9x+40\right)}{40}-\frac{4x+50}{10}$$

Since \frac{8\left(8x-20\right)}{40} and \frac{5\left(9x+40\right)}{40} have the same denominator, add them by adding their numerators.

$$\frac{8\left(8x-20\right)+5\left(9x+40\right)}{40}-\frac{4x+50}{10}$$

Do the multiplications in 8\left(8x-20\right)+5\left(9x+40\right).

$$\frac{64x-160+45x+200}{40}-\frac{4x+50}{10}$$

Combine like terms in 64x-160+45x+200.

$$\frac{109x+40}{40}-\frac{4x+50}{10}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 40 and 10 is 40. Multiply \frac{4x+50}{10} times \frac{4}{4}.

$$\frac{109x+40}{40}-\frac{4\left(4x+50\right)}{40}$$

Since \frac{109x+40}{40} and \frac{4\left(4x+50\right)}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{109x+40-4\left(4x+50\right)}{40}$$

Do the multiplications in 109x+40-4\left(4x+50\right).

$$\frac{109x+40-16x-200}{40}$$

Combine like terms in 109x+40-16x-200.

$$\frac{93x-160}{40}$$