Solve 1/2(x+2)+1/2(x-8)=7

$$\frac { 1 } { 2 } ( x + 2 ) + \frac { 1 } { 2 } ( x - 8 ) = 7$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

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

$$\frac{1}{2}x+\frac{1}{2}\times 2+\frac{1}{2}\left(x-8\right)=7$$

Cancel out 2 and 2.

$$\frac{1}{2}x+1+\frac{1}{2}\left(x-8\right)=7$$

Use the distributive property to multiply \frac{1}{2} by x-8.

$$\frac{1}{2}x+1+\frac{1}{2}x+\frac{1}{2}\left(-8\right)=7$$

Multiply \frac{1}{2} and -8 to get \frac{-8}{2}.

$$\frac{1}{2}x+1+\frac{1}{2}x+\frac{-8}{2}=7$$

Divide -8 by 2 to get -4.

$$\frac{1}{2}x+1+\frac{1}{2}x-4=7$$

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

$$x+1-4=7$$

Subtract 4 from 1 to get -3.

$$x-3=7$$

Add 3 to both sides.

$$x=7+3$$

Add 7 and 3 to get 10.

$$x=10$$