Subjects algebra

Equation Solving A0280D

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1. **Stating the problem:** We need to solve equation 3 in the same way as equation 9, following the steps and instructions provided. 2. **Understanding the approach:** Equation 9 was solved by isolating the variable, simplifying expressions, and carefully canceling common factors. 3. **Applying the formula and rules:** Assuming equation 3 is of the form $$a x + b = c$$, the goal is to solve for $x$. 4. **Step-by-step solution:** - Start with the equation: $$a x + b = c$$ - Subtract $b$ from both sides: $$a x + b - b = c - b$$ - Simplify: $$a x = c - b$$ - Divide both sides by $a$: $$\frac{\cancel{a} x}{\cancel{a}} = \frac{c - b}{a}$$ - Simplify: $$x = \frac{c - b}{a}$$ 5. **Explanation:** We isolate $x$ by first removing $b$ from the left side through subtraction, then dividing both sides by $a$ to solve for $x$. The cancellation shows the division step clearly. This method follows the human-like detailed approach as requested. **Final answer:** $$x = \frac{c - b}{a}$$