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3|x – 3.5| + 7.5 = 7.5
3|x – 3.5| = 0
|x – 3.5| = 0
x - 3.5 =0
x = 3.5
3|x – 3.5| + 7.5 = 7.5
3|x – 3.5| = 0
|x – 3.5| = 0
x - 3.5 =0
x = 3.5
An equation is formed when two equal expressions. The value of x in the given equation 3|x – 3.5| + 7.5 = 7.5 is 3.5.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A mode is an operator which produces absolute value. Therefore, any value inside of the mode irrespective of its negative or positive will always return a positive or absolute value.
The value of the x in the given inequality 3|x–3.5|+7.5 = 7.5 can be solved as shown below,
3|x – 3.5| + 7.5 = 7.5
3|x – 3.5| = 7.5 – 7.5
3|x – 3.5| = 0
|x – 3.5| = 0
Now, since the mode needs to be zero for the equation to be satisfied, thus, the value of x should be 3.5.
Hence, the value of x in the given equation 3|x – 3.5| + 7.5 = 7.5 is 3.5.
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