Solve: 5x-3=11+12x; 17x-3=11; 17x-3+3=11+3= 17x=14; x= 14/17 is this right?
Not quite. In your first step, you aren't doing the same thing to both sides of the equation.
5x-3 = 11+12x
You correctly recognized that you need to isolate the x terms on one side. However, if you subtract 12x from the right, you need to subtract 12x from the left, not add. So:
-7x - 3 = 11
You didn't make any other mistakes after that point. Following the same steps from here should give you the right answer,
Thank you, I see my error.
To verify if your solution is correct, let's go step by step through the problem.
The given equation is: 5x - 3 = 11 + 12x.
First, we need to collect the terms with x on one side of the equation. To do this, we'll subtract 12x from both sides:
5x - 12x - 3 = 11 + 12x - 12x.
Simplifying this equation gives us:
-7x - 3 = 11.
Next, let's isolate the variable term by subtracting 11 from both sides:
-7x - 3 - 11 = 11 - 11.
Simplifying again gives us:
-7x - 14 = 0.
Now, we'll rearrange the equation by adding 14 to both sides:
-7x - 14 + 14 = 0 + 14.
This simplifies to:
-7x = 14.
Finally, to solve for x, we'll divide both sides by -7:
(-7x)/-7 = 14/-7.
This gives us:
x = -2.
Therefore, the correct solution to the equation is x = -2, not 14/17.