Solve 4(x/4-5)+20

$$4( \frac{ x }{ 4 } -5)+20$$

Evaluate

$$x$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{4}{4}.

$$4\left(\frac{x}{4}-\frac{5\times 4}{4}\right)+20$$

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

$$4\times \frac{x-5\times 4}{4}+20$$

Do the multiplications in x-5\times 4.

$$4\times \frac{x-20}{4}+20$$

Cancel out 4 and 4.

$$x-20+20$$

Add -20 and 20 to get 0.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{4}{4}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4\left(\frac{x}{4}-\frac{5\times 4}{4}\right)+20)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(4\times \frac{x-5\times 4}{4}+20)$$

Do the multiplications in x-5\times 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4\times \frac{x-20}{4}+20)$$

Cancel out 4 and 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-20+20)$$

Add -20 and 20 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x)$$

The derivative of ax^{n} is nax^{n-1}.

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

For any term t except 0, t^{0}=1.

$$1$$