Solving the Equation: x-10 When Absolute Value Equals Zero

Name: Video Solution: Solving the Equation: x-10 When Absolute Value Equals Zero
Description: Step-by-step video solution

$\left|x-10\right|=0$

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$\left|x-10\right|=0$

To solve the problem $\left|x-10\right|=0$ , we use this logical reasoning:

Step 1: Recognize that the absolute value expression equals zero.
The property of absolute values states that for $\left|A\right|=0$ , $A$ must equal zero.
Step 2: Apply this principle to the given equation.
Given $\left|x-10\right|=0$ , it follows that $x-10=0$ .
Step 3: Solve for $x$ .
Rearrange the equation $x - 10 = 0$ to find $x = 10$ .

The solution to the equation $\left|x-10\right|=0$ is therefore $x = 10$ .

$x=10$

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