Solve 6+2x/2-7+x

$$6+ \frac{ 2x }{ 2 } -7+x$$

Evaluate

$$2x-1$$

Solution Steps

Cancel out 2 and 2.

$$6+x-7+x$$

Subtract 7 from 6 to get -1.

$$-1+x+x$$

Combine x and x to get 2x.

$$-1+2x$$

Differentiate w.r.t. x

$$2$$

Steps Using Derivative Rule for Sum

Cancel out 2 and 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6+x-7+x)$$

Subtract 7 from 6 to get -1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-1+x+x)$$

Combine x and x to get 2x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-1+2x)$$

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}.

$$2x^{1-1}$$

Subtract 1 from 1.

$$2x^{0}$$

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

$$2\times 1$$

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

$$2$$