is this equation false?
22x-5=102x−5=10
Yes, the equation given is false. It contains two equal signs, which is not valid in an equation.
To determine if the equation 22x - 5 = 102x - 5 = 10 is false, we need to solve it and check if the solution is valid.
Step 1: Combine like terms on both sides of the equation:
22x - 5 = 102x - 5
Step 2: Simplify further by subtracting 22x from both sides of the equation:
-5 = 80x - 5
Step 3: We can see that both sides of the equation are equal, so all values of x will satisfy this equation. Therefore, the equation is not false.
To determine if the equation 22x - 5 = 102x - 5 is false, we need to check if it holds true for any value of x.
First, let's simplify both sides of the equation:
22x - 5 = 102x - 5
The -5 on both sides cancels out, leaving:
22x = 102x
Now, let's isolate the variable x on one side of the equation. We can do this by subtracting 102x from both sides:
22x - 102x = 102x - 102x
-80x = 0
Dividing both sides of the equation by -80, we get:
x = 0
So, the equation is true when x = 0.
To summarize, the equation 22x - 5 = 102x - 5 is not false. It holds true when x = 0.