Twice a number plus 4 is 8.
Understand the Problem
The question is asking us to find a number that, when multiplied by two and then added to four, equals eight. This implies solving a simple algebraic equation.
Answer
$x = 2$
Answer for screen readers
The final answer is $x = 2$.
Steps to Solve
- Set up the equation
We start by translating the problem into an algebraic equation. Let the unknown number be represented by $x$. According to the problem, when this number is multiplied by two and added to four, it equals eight. We can write this as:
$$ 2x + 4 = 8 $$
- Isolate the variable
Next, we want to isolate $x$. To do this, we first subtract 4 from both sides of the equation:
$$ 2x + 4 - 4 = 8 - 4 $$
This simplifies to:
$$ 2x = 4 $$
- Solve for x
Now, we divide both sides of the equation by 2 to solve for $x$:
$$ x = \frac{4}{2} $$
This simplifies to:
$$ x = 2 $$
The final answer is $x = 2$.
More Information
The number we found, 2, is significant because it represents the value that meets the conditions of the original problem. It's also interesting to note that the operations we performed to isolate the variable are foundational steps in solving algebraic equations.
Tips
- A common mistake is failing to correctly balance the equation after performing operations. Always ensure to do the same operation to both sides.
- Another mistake is misinterpreting what the equation represents; clarity in translating the problem into an equation is crucial.
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