Subjects algebra

Combine Like Terms 284E22

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1. **State the problem:** Solve the equation $2x + 3x = 10$. 2. **Combine like terms:** Since both terms on the left side have $x$, add their coefficients: $2x + 3x = (2 + 3)x = 5x$. 3. **Rewrite the equation:** Now the equation is $5x = 10$. 4. **Solve for $x$:** Divide both sides by 5 to isolate $x$: $$x = \frac{10}{5} = 2.$$ 5. **Interpretation:** The expression $2x + 3x$ simplifies to $5x$, not just 5. The equation $2x + 3x = 10$ means $5x = 10$, so $x$ equals 2. **Final answer:** $x = 2$.