Final answer:
The equation provided, as stated, suggests a contradiction where x equals itself plus one, which is impossible. The clarified problem likely involves a typo, meaning no solution exists for the equation as written. In general context, similar equations with the same variable term on both sides might be solvable using methods like the quadratic formula.
Step-by-step explanation:
The equation in the question seems to have a typo. If we look at the left side, we have ½x + ½x, which simplifies to x (since one half plus one half is a whole). On the right side, we have 'x=x+1' which appears to be a typo because an equation can't have the format 'something equals itself plus a number'. For clarity, let's assume the proper equation is x = x + 1.
If we subtract x from both sides to maintain equality, we get 0 = 1, which is a contradiction. This type of situation indicates that there may be some confusion in the original problem, and typically, such an equation has no solution as it stands.
However, if ever confronted with an equation with the same variable term on both sides, like x² + 1.2 x 10-2x - 6.0 × 10-3 = 0, we would solve it using the quadratic formula. In this case, the original problem doesn't seem to form a coherent math equation.