Answer:
3
Explanation:
To solve the equation 2x - 8 = 6x - 20, we'll follow these steps and justify each one:
Step 1: Start by isolating the variable term (in this case, the term with x) on one side of the equation. You can do this by subtracting 2x from both sides of the equation:
2x - 8 - 2x = 6x - 20 - 2x
Justification for Step 1: You subtract 2x from both sides to move all terms with x to one side of the equation.
This simplifies to:
-8 = 4x - 20
Step 2: Next, add 20 to both sides of the equation to isolate the 4x term:
-8 + 20 = 4x - 20 + 20
Justification for Step 2: You add 20 to both sides to move the constant term to the other side of the equation.
This simplifies to:
12 = 4x
Step 3: Finally, divide both sides by 4 to solve for x:
(12) / 4 = (4x) / 4
Justification for Step 3: You divide both sides by 4 to isolate x.
This simplifies to:
3 = x
So, the solution to the equation 2x - 8 = 6x - 20 is x = 3.