Solve x+5-8x+3+4x

$$x + 5 - 8 x + 3 + 4 x$$

Evaluate

$$8-3x$$

Solution Steps

Combine x and -8x to get -7x.

$$-7x+5+3+4x$$

Add 5 and 3 to get 8.

$$-7x+8+4x$$

Combine -7x and 4x to get -3x.

$$-3x+8$$

Differentiate w.r.t. x

$$-3$$

Steps Using Derivative Rule for Sum

Combine x and -8x to get -7x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-7x+5+3+4x)$$

Add 5 and 3 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-7x+8+4x)$$

Combine -7x and 4x to get -3x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-3x+8)$$

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}.

$$-3x^{1-1}$$

Subtract 1 from 1.

$$-3x^{0}$$

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

$$-3$$