Solve x-6+x=x-1/2

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

Solve for x

$$x = \frac{11}{2} = 5\frac{1}{2} = 5.5$$

Steps for Solving Linear Equation

Combine x and x to get 2x.

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

Subtract x from both sides.

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

Combine 2x and -x to get x.

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

Add 6 to both sides.

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

Convert 6 to fraction \frac{12}{2}.

$$x=-\frac{1}{2}+\frac{12}{2}$$

Since -\frac{1}{2} and \frac{12}{2} have the same denominator, add them by adding their numerators.

$$x=\frac{-1+12}{2}$$

Add -1 and 12 to get 11.

$$x=\frac{11}{2}$$