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How do you solve $7=x-23$?

Last updated date: 12th Aug 2024
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Answer
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Hint: To solve the above expression we will use the properties of subtraction and addition. We know that if the same entity is added across an equality then, the whole expression is equal as well. Similarly, is the case with subtraction. When a same entity is subtracted from equals, then, the whole expression is still equal. We will add 23 on both sides of the equality and then calculate the resultant expression.

Complete step-by-step solution:
According to the question given to us, we have to solve for $7=x-23$
Now, we know that if a number is added or subtracted from both the sides of the equality, then the equality is not hindered. Rather, we get a new equality.
So we will start solving the question by adding a number across the equality so that we can get the value of $x$.
The expression we have: $7=x-23$
In order to solve for $x$, we have to write the equation in terms of $x$.
Since we can see on the right side of the equality we have negative 23, so what we can do is, we can add 23 on either side of the expression so that 23 is cancelled. And the expression gets in terms of $x$. And we can further calculate to solve for $x$.
So we have,
$7=x-23$
Adding 23 on both sides,
$\Rightarrow 7+23=x-23+23$
23 on the right side is cancelled, and we get
$\Rightarrow 7+23=x$
We know that, $a=b\Leftrightarrow b=a$
So we have,
$\Rightarrow x=7+23$
On calculating, we get the value of $x$ as
$\Rightarrow x=30$
Therefore, the answer is $x=30$.

Note: Addition and subtraction of numbers to the expression to be solved should be directed towards getting the expression in terms of $x$. While doing the calculations, care should be taken so as not to write the wrong numbers as that would lead to wrong answers.