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

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

Step 1

Move all terms containing $x$ to the left side of the equation.

Subtract $x$ from both sides of the equation.

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

Combine the opposite terms in $x + \frac{1}{2} - x$ .

Subtract $x$ from $x$ .

$0 + \frac{1}{2} = - \frac{1}{2}$

Add $0$ and $\frac{1}{2}$ .

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

Step 2

Since $\frac{1}{2} \neq - \frac{1}{2}$ , there are no solutions.

No solution