How to get x by itself?
Understand the Problem
The question is asking for a method or steps to isolate the variable 'x' in an equation. This typically involves algebraic manipulation such as adding, subtracting, multiplying, or dividing both sides of the equation to solve for 'x'.
Answer
The solution is \(x = 4\).
Answer for screen readers
The solution is (x = 4).
Steps to Solve
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Identify the equation Recognize the equation you need to solve for (x). For example, consider the equation (2x + 3 = 11).
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Isolate the term containing 'x' Subtract 3 from both sides to eliminate the constant on the left. $$ 2x + 3 - 3 = 11 - 3 $$ This simplifies to: $$ 2x = 8 $$
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Solve for 'x' Divide both sides by 2 to isolate (x). $$ \frac{2x}{2} = \frac{8}{2} $$ This simplifies to: $$ x = 4 $$
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Verify the solution Substitute (x = 4) back into the original equation to confirm: $$ 2(4) + 3 = 11 \quad \text{(which simplifies to) } 8 + 3 = 11 $$ This is true, therefore the solution is verified.
The solution is (x = 4).
More Information
Isolating a variable is a fundamental skill in algebra that allows you to solve for unknowns. In many real-world applications, being able to manipulate equations to find a variable is crucial.
Tips
- Forgetting to perform the same operation on both sides of the equation, which can lead to incorrect solutions.
- Not simplifying the equation step by step, which could cause confusion.
- Misplacing parentheses or making calculation errors can also lead to wrong answers.
