Solve 500-(2x+y/2+z/4)

$$500-(2x+ \frac{ y }{ 2 } + \frac{ z }{ 4 } )$$

Evaluate

$$-\frac{y}{2}-\frac{z}{4}-2x+500$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2x times \frac{2}{2}.

$$500-\left(\frac{2\times 2x}{2}+\frac{y}{2}+\frac{z}{4}\right)$$

Since \frac{2\times 2x}{2} and \frac{y}{2} have the same denominator, add them by adding their numerators.

$$500-\left(\frac{2\times 2x+y}{2}+\frac{z}{4}\right)$$

Do the multiplications in 2\times 2x+y.

$$500-\left(\frac{4x+y}{2}+\frac{z}{4}\right)$$

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

$$500-\left(\frac{2\left(4x+y\right)}{4}+\frac{z}{4}\right)$$

Since \frac{2\left(4x+y\right)}{4} and \frac{z}{4} have the same denominator, add them by adding their numerators.

$$500-\frac{2\left(4x+y\right)+z}{4}$$

Do the multiplications in 2\left(4x+y\right)+z.

$$500-\frac{8x+2y+z}{4}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 500 times \frac{4}{4}.

$$\frac{500\times 4}{4}-\frac{8x+2y+z}{4}$$

Since \frac{500\times 4}{4} and \frac{8x+2y+z}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{500\times 4-\left(8x+2y+z\right)}{4}$$

Do the multiplications in 500\times 4-\left(8x+2y+z\right).

$$\frac{2000-8x-2y-z}{4}$$

Expand

$$-\frac{y}{2}-\frac{z}{4}-2x+500$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2x times \frac{2}{2}.

$$500-\left(\frac{2\times 2x}{2}+\frac{y}{2}+\frac{z}{4}\right)$$

Since \frac{2\times 2x}{2} and \frac{y}{2} have the same denominator, add them by adding their numerators.

$$500-\left(\frac{2\times 2x+y}{2}+\frac{z}{4}\right)$$

Do the multiplications in 2\times 2x+y.

$$500-\left(\frac{4x+y}{2}+\frac{z}{4}\right)$$

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

$$500-\left(\frac{2\left(4x+y\right)}{4}+\frac{z}{4}\right)$$

Since \frac{2\left(4x+y\right)}{4} and \frac{z}{4} have the same denominator, add them by adding their numerators.

$$500-\frac{2\left(4x+y\right)+z}{4}$$

Do the multiplications in 2\left(4x+y\right)+z.

$$500-\frac{8x+2y+z}{4}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 500 times \frac{4}{4}.

$$\frac{500\times 4}{4}-\frac{8x+2y+z}{4}$$

Since \frac{500\times 4}{4} and \frac{8x+2y+z}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{500\times 4-\left(8x+2y+z\right)}{4}$$

Do the multiplications in 500\times 4-\left(8x+2y+z\right).

$$\frac{2000-8x-2y-z}{4}$$