Subjects algebra

Linear Equation C41A93

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1. **State the problem:** We need to solve the equation or expression provided by the user. Since no specific problem was given, let's consider a general example: Solve for $x$ in the equation $2x + 3 = 7$. 2. **Formula and rules:** To solve linear equations, we isolate the variable by performing inverse operations. Important rules include: - Addition and subtraction cancel each other. - Multiplication and division cancel each other. - Whatever operation you do to one side, do to the other side. 3. **Step-by-step solution:** - Start with the equation: $$2x + 3 = 7$$ - Subtract 3 from both sides to isolate the term with $x$: $$2x + 3 - 3 = 7 - 3$$ - Simplify: $$2x = 4$$ - Divide both sides by 2 to solve for $x$: $$\frac{\cancel{2}x}{\cancel{2}} = \frac{4}{2}$$ - Simplify: $$x = 2$$ 4. **Final answer:** $$x = 2$$ This means the value of $x$ that satisfies the equation is 2.