To solve the equation 2x – 20 ÷ 3 = 2x, we will follow a few steps to isolate the variable.
First, let’s rewrite the equation for clarity:
2x – (20 ÷ 3) = 2x
Next, we’ll start by simplifying the left side of the equation. We can calculate 20 ÷ 3, which equals approximately 6.67. Thus, the equation becomes:
2x – 6.67 = 2x
Now, we can subtract 2x from both sides of the equation to eliminate 2x from the right side:
2x – 6.67 – 2x = 2x – 2x
This simplifies to:
-6.67 = 0
At this point, we can see that we have reached a contradiction. This indicates that there is no solution to the equation, meaning the left side cannot be equal to the right side under any circumstances.
In conclusion, the equation 2x – 20 ÷ 3 = 2x has no solutions.