Solve x-7*-2x

$$x-7 \times -2x$$

Evaluate

$$15x$$

Solution Steps

Multiply 7 and -2 to get -14.

$$x-\left(-14x\right)$$

The opposite of -14x is 14x.

$$x+14x$$

Combine x and 14x to get 15x.

$$15x$$

Differentiate w.r.t. x

$$15$$

Steps Using Definition of a Derivative

Multiply 7 and -2 to get -14.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(-14x\right))$$

The opposite of -14x is 14x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+14x)$$

Combine x and 14x to get 15x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(15x)$$

The derivative of ax^{n} is nax^{n-1}.

$$15x^{1-1}$$

Subtract 1 from 1.

$$15x^{0}$$

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

$$15\times 1$$

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

$$15$$