1. Stating the problem: Solve the equation $4x - 2x = x5$ for $x$. 2. Simplify the left side by combining like terms: $$4x - 2x = 2x$$ So the equation becomes: $$2x = x5$$ 3. Rewrite $x5$ as $5x$ (assuming multiplication): $$2x = 5x$$ 4. Subtract $2x$ from both sides to isolate terms: $$2x - 2x = 5x - 2x$$ $$\cancel{2x} - \cancel{2x} = 5x - 2x$$ $$0 = 3x$$ 5. Solve for $x$ by dividing both sides by 3: $$\frac{0}{3} = \frac{3x}{3}$$ $$0 = x$$ 6. Final answer: $x = 0$. This means the only solution to the equation is $x=0$.