1. The problem is to solve the equation given by the user. Since the user did not specify the equation, I will explain the general approach to solving algebraic equations step by step.
2. The general formula or principle used is to isolate the variable on one side of the equation. This often involves using inverse operations such as addition/subtraction, multiplication/division, and applying properties of equality.
3. Important rules to remember:
- Whatever you do to one side of the equation, you must do to the other side.
- You can add, subtract, multiply, or divide both sides by the same nonzero number.
- Simplify expressions on both sides as much as possible.
4. Example: Solve the equation $2x + 3 = 7$.
5. Step 1: Subtract 3 from both sides to isolate the term with $x$:
$$2x + 3 - 3 = 7 - 3$$
$$2x = 4$$
6. Step 2: Divide both sides by 2 to solve for $x$:
$$\frac{\cancel{2}x}{\cancel{2}} = \frac{4}{2}$$
$$x = 2$$
7. The solution is $x = 2$.
This method applies to most linear equations. For more complex equations, additional steps such as factoring, expanding, or using quadratic formula may be needed.
Equation Solving 557Ef0
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