Solve (2x-7)+(3x-1)

$$( 2 x - 7 ) + ( 3 x - 1 )$$

Evaluate

$$5x-8$$

Solution Steps

Combine 2x and 3x to get 5x.

$$5x-7-1$$

Subtract 1 from -7 to get -8.

$$5x-8$$

Differentiate w.r.t. x

$$5$$

Steps Using Derivative Rule for Sum

Combine 2x and 3x to get 5x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x-7-1)$$

Subtract 1 from -7 to get -8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x-8)$$

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}.

$$5x^{1-1}$$

Subtract 1 from 1.

$$5x^{0}$$

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

$$5\times 1$$

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

$$5$$