So, for this one, it is 2x-14=3x+6
Can someone please explain to me how they would solve this problem?
I think you would add 14 to the 6, but I'm not sure..
subtract 2x from each side.
subtract 6 from each side
OH! So 2x-3x is -1,
-1x-14+6
then subtract 6 from the fourteen
and get -1x= 8
correct?
HuH?
subtract 2x from each side
2x-2x-14=3x-2x+6 or
-14=x+6
subtract six from each side
-14-6=x+6-6
-20=x
Ah, okay. I see what I did wrong, thank you.
To solve the equation 2x-14=3x+6, we need to isolate the variable x. Let me explain step by step how to do it.
Step 1: Simplify both sides of the equation.
Start by combining like terms on each side. On the left side, we have 2x - 14, and on the right side, we have 3x + 6. Simplifying this equation, we get:
2x - 14 = 3x + 6
Step 2: Move all terms with x to one side.
To do this, we need to eliminate the 3x on the right side. We can achieve this by subtracting 3x from both sides of the equation. This cancels out the 3x on the right side. The equation becomes:
2x - 14 - 3x = 3x + 6 - 3x
Simplifying further:
- x - 14 = 6
Step 3: Isolate the variable.
To isolate x, we need to get rid of the constant term -14 on the left side. We can do this by adding 14 to both sides:
- x - 14 + 14 = 6 + 14
Simplifying further:
- x = 20
Step 4: Solve for x.
To finalize, we need to solve for x by multiplying both sides of the equation by -1. This will move the negative sign from x to the constant term:
-1 * (-x) = -1 * 20
Simplifying further:
x = -20
So the solution to the equation 2x-14=3x+6 is x = -20.