Solve x=1/2(6+x)

$$x = \frac { 1 } { 2 } ( 6 + x )$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2} by 6+x.

$$x=\frac{1}{2}\times 6+\frac{1}{2}x$$

Multiply \frac{1}{2} and 6 to get \frac{6}{2}.

$$x=\frac{6}{2}+\frac{1}{2}x$$

Divide 6 by 2 to get 3.

$$x=3+\frac{1}{2}x$$

Subtract \frac{1}{2}x from both sides.

$$x-\frac{1}{2}x=3$$

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

$$\frac{1}{2}x=3$$

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

$$x=3\times 2$$

Multiply 3 and 2 to get 6.

$$x=6$$