Solve (5x+8)+(7x-13)

$$( 5 x + 8 ) + ( 7 x - 13 )$$

Evaluate

$$12x-5$$

Solution Steps

Combine 5x and 7x to get 12x.

$$12x+8-13$$

Subtract 13 from 8 to get -5.

$$12x-5$$

Differentiate w.r.t. x

$$12$$

Steps Using Derivative Rule for Sum

Combine 5x and 7x to get 12x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x+8-13)$$

Subtract 13 from 8 to get -5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x-5)$$

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}.

$$12x^{1-1}$$

Subtract 1 from 1.

$$12x^{0}$$

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

$$12\times 1$$

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

$$12$$