2 times what equals 56

Understand the Problem

The question is asking to find a number that, when multiplied by 2, equals 56. This is a simple algebraic equation that can be solved by dividing 56 by 2.

Answer

The number is $28$.

Steps to Solve

Set up the equation

We know from the problem that a number multiplied by 2 equals 56. We can denote this unknown number as $x$. So, we can write the equation as:

$$ 2x = 56 $$

Isolate the variable

To find the value of $x$, we need to isolate it. We can do this by dividing both sides of the equation by 2:

$$ x = \frac{56}{2} $$

Calculate the value

Now, we perform the division:

$$ x = 28 $$

State the final answer

We have now found the value of the unknown number.

The final answer is $28$.

More Information

This solution shows the basic principle of solving a linear equation by isolating the variable. Dividing both sides of the equation by the same number is a fundamental technique in algebra.

Tips

Not dividing both sides: A common error is forgetting to divide both sides of the equation when isolating the variable. Always perform the same operation on both sides to maintain the equality.
Misreading the problem: Sometimes, it's easy to overlook whether to add, subtract, multiply, or divide. Make sure to read the problem carefully.

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