Solving Equations: Step-by-Step Process to Isolate the Variable

5 (5 – x) = -5

To solve this equation, we need to isolate the variable on one side of the equation

To solve this equation, we need to isolate the variable on one side of the equation. Let’s go step by step:

1. Distribute the 5 on the left side of the equation:
5 * 5 – 5 * x = -5
25 – 5x = -5

2. Simplify the equation:
25 – 5x = -5

3. Move the constant term (-5) to the right side of the equation by adding 5 to both sides:
25 – 5x + 5 = -5 + 5
25 – 5x + 5 = 0

4. Simplify the equation:
30 – 5x = 0

5. Move the variable term (-5x) to the left side of the equation by subtracting 30 from both sides:
30 – 5x – 30 = 0 – 30
-5x = -30

6. Divide both sides of the equation by -5 to isolate the variable x:
(-5x) / -5 = (-30) / -5
x = 6

So, the solution to the equation 5(5 – x) = -5 is x = 6.

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