Answer:
{11}
Explanation:
Pre-Solving
We are given the following equation:
25 - 7x = -52
And we want to solve and check the solution.
In order to solve this, we want to isolate the variable so that it is only on one side.
To start, subtract 25 from both sides.
25 - 7x = -52
-25 -25
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-7x = -77
Now, even though we have the variables on one side and and the numbers on the other, we aren't done yet.
Divide both sides by -7.
-7x = -77
÷-7 ÷-7
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x = 11
Checking
Now, we should check the solution to make sure it works.
Substitute 11 for x in 25-7x = -52.
25 -7(11) = -52
25 - 77 = -52
-52 = -52
This is a true statement, so the solution works.
The answer is x = 11, or written as a set, {11}.