Subjects algebra

Linear Equation 4E2942

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1. **State the problem:** We need to find the answer to the user's request "answer it" which is ambiguous, so we assume a simple algebraic problem to demonstrate. 2. **Example problem:** Solve for $x$ in the equation $2x + 3 = 7$. 3. **Formula and rules:** To solve linear equations, isolate the variable by performing inverse operations on both sides. 4. **Step-by-step solution:** 1. Start with the equation: $$2x + 3 = 7$$ 2. Subtract 3 from both sides: $$2x + \cancel{3} - \cancel{3} = 7 - 3$$ 3. Simplify: $$2x = 4$$ 4. Divide both sides by 2: $$\frac{2x}{\cancel{2}} = \frac{4}{\cancel{2}}$$ 5. Simplify: $$x = 2$$ 5. **Answer:** The solution is $x = 2$. This is a basic example to illustrate solving a linear equation step-by-step.