Subjects algebra

Solve Linear Equation 15Dc59

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1. **State the problem:** Solve the equation $$3(x - 1) = 2x + 9$$ for $x$. 2. **Use the distributive property:** Multiply 3 by each term inside the parentheses: $$3(x - 1) = 3x - 3$$ So the equation becomes: $$3x - 3 = 2x + 9$$ 3. **Isolate the variable terms on one side:** Subtract $2x$ from both sides: $$3x - 2x - 3 = 9$$ Simplify: $$x - 3 = 9$$ 4. **Isolate $x$:** Add 3 to both sides: $$x = 9 + 3$$ $$x = 12$$ 5. **Conclusion:** The solution to the equation is $x = 12$. This means the correct answer is the option labeled "x = 12".