Solve 2.7x-5+13-3.3x+2-20-x

$$2.7x-5+13-3.3x+2-20-x$$

Evaluate

$$-\frac{8x}{5}-10$$

Solution Steps

Add -5 and 13 to get 8.

$$2.7x+8-3.3x+2-20-x$$

Combine 2.7x and -3.3x to get -0.6x.

$$-0.6x+8+2-20-x$$

Add 8 and 2 to get 10.

$$-0.6x+10-20-x$$

Subtract 20 from 10 to get -10.

$$-0.6x-10-x$$

Combine -0.6x and -x to get -1.6x.

$$-1.6x-10$$

Differentiate w.r.t. x

$$-1.6$$

Steps Using Derivative Rule for Sum

Add -5 and 13 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2.7x+8-3.3x+2-20-x)$$

Combine 2.7x and -3.3x to get -0.6x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-0.6x+8+2-20-x)$$

Add 8 and 2 to get 10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-0.6x+10-20-x)$$

Subtract 20 from 10 to get -10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-0.6x-10-x)$$

Combine -0.6x and -x to get -1.6x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-1.6x-10)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$-1.6x^{1-1}$$

Subtract 1 from 1.

$$-1.6x^{0}$$

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

$$-1.6$$