Solve x-4-(x+2)*1/2=8

$$x - 4 - ( x + 2 ) \times \frac { 1 } { 2 } = 8$$

Solve for x

$$x=26$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+2 by \frac{1}{2}.

$$x-4-\left(x\times \frac{1}{2}+2\times \frac{1}{2}\right)=8$$

Cancel out 2 and 2.

$$x-4-\left(x\times \frac{1}{2}+1\right)=8$$

To find the opposite of x\times \frac{1}{2}+1, find the opposite of each term.

$$x-4-x\times \frac{1}{2}-1=8$$

Multiply -1 and \frac{1}{2} to get -\frac{1}{2}.

$$x-4-\frac{1}{2}x-1=8$$

Combine x and -\frac{1}{2}x to get \frac{1}{2}x.

$$\frac{1}{2}x-4-1=8$$

Subtract 1 from -4 to get -5.

$$\frac{1}{2}x-5=8$$

Add 5 to both sides.

$$\frac{1}{2}x=8+5$$

Add 8 and 5 to get 13.

$$\frac{1}{2}x=13$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=13\times 2$$

Multiply 13 and 2 to get 26.

$$x=26$$