Problem 74

Question

Explain how to solve the equation \(-x=-50\)

Step-by-Step Solution

Verified
Answer
The solution to the equation \(-x = -50\) is \(x = 50\).
1Step 1: Interpret the question
The goal is to find the value of 'x' in the given equation \(-x = -50\). In order to do this, equalities properties can be used to manipulate the equation.
2Step 2: Negate both sides
-x equals -50. Multiply both sides by -1. This will give x = 50, because when you multiply a negative sign with a negative sign, it results on a positive sign.
3Step 3: Verify the Solution
Check the solution in the original equation. If you replace 'x' with 50 in the original equation (-x = -50), it should hold true. That is, -50 equals -50, confirming the solution.