Solve 4(x+3)-3(x+4)

$$4 ( x + 3 ) - 3 ( x + 4 )$$

Evaluate

$$x$$

Solution Steps

Use the distributive property to multiply 4 by x+3.

$$4x+12-3\left(x+4\right)$$

Use the distributive property to multiply -3 by x+4.

$$4x+12-3x-12$$

Combine 4x and -3x to get x.

$$x+12-12$$

Subtract 12 from 12 to get 0.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Use the distributive property to multiply 4 by x+3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x+12-3\left(x+4\right))$$

Use the distributive property to multiply -3 by x+4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x+12-3x-12)$$

Combine 4x and -3x to get x.

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

Subtract 12 from 12 to get 0.

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

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

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

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

$$1$$