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Solving Absolute Value Equations | 4(x-3) = 15
Published on May 14, 2026
Algebra
Learn how to solve the absolute value equation 4(x-3) = 15 by splitting it into two separate linear equations. Find the values of x that satisfy the given equation.
Question
Answer
The problem asks to solve the equation
The absolute value equation
In this case,
In this case,
So, we have two equations:
Let’s solve the first equation:
Divide both sides by 4:
Add 3 to both sides:
To add the fractions, find a common denominator, which is 4. So,
Divide both sides by 4:
Add 3 to both sides:
To add the fractions, find a common denominator, which is 4. So,
Now, let’s solve the second equation:
Divide both sides by 4:
Add 3 to both sides:
To add the fractions, find a common denominator, which is 4. So,
Divide both sides by 4:
Add 3 to both sides:
To add the fractions, find a common denominator, which is 4. So,
So the solutions are
We can check our solutions:
For
For
For
The final answer is