Solve 23-(-3x)-4+(-2x)+75

$$23 - ( - 3 x ) - 4 + ( - 2 x ) + 75$$

Evaluate

$$x+94$$

Solution Steps

The opposite of -3x is 3x.

$$23+3x-4-2x+75$$

Subtract 4 from 23 to get 19.

$$19+3x-2x+75$$

Combine 3x and -2x to get x.

$$19+x+75$$

Add 19 and 75 to get 94.

$$94+x$$

Differentiate w.r.t. x

$$1$$

Steps Using Derivative Rule for Sum

The opposite of -3x is 3x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(23+3x-4-2x+75)$$

Subtract 4 from 23 to get 19.

$$\frac{\mathrm{d}}{\mathrm{d}x}(19+3x-2x+75)$$

Combine 3x and -2x to get x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(19+x+75)$$

Add 19 and 75 to get 94.

$$\frac{\mathrm{d}}{\mathrm{d}x}(94+x)$$

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}.

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

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

$$1$$