Solve (x+5*x-3)-2x

$$(x+5 \times x-3)-2x$$

Evaluate

$$4x-3$$

Solution Steps

Combine x and 5x to get 6x.

$$6x-3-2x$$

Combine 6x and -2x to get 4x.

$$4x-3$$

Differentiate w.r.t. x

$$4$$

Steps Using Derivative Rule for Sum

Combine x and 5x to get 6x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x-3-2x)$$

Combine 6x and -2x to get 4x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x-3)$$

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}.

$$4x^{1-1}$$

Subtract 1 from 1.

$$4x^{0}$$

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

$$4\times 1$$

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

$$4$$