Solve 4x-7+5x-10-x

$$4 x - 7 + 5 x - 10 - x$$

Evaluate

$$8x-17$$

Solution Steps

Combine 4x and 5x to get 9x.

$$9x-7-10-x$$

Subtract 10 from -7 to get -17.

$$9x-17-x$$

Combine 9x and -x to get 8x.

$$8x-17$$

Differentiate w.r.t. x

$$8$$

Steps Using Derivative Rule for Sum

Combine 4x and 5x to get 9x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9x-7-10-x)$$

Subtract 10 from -7 to get -17.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9x-17-x)$$

Combine 9x and -x to get 8x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8x-17)$$

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}.

$$8x^{1-1}$$

Subtract 1 from 1.

$$8x^{0}$$

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

$$8\times 1$$

For any term t, t\times 1=t and 1t=t.

$$8$$