can someone please check my answer for me?
6-2x=6x-10x+14
I got x=-2 is this correct? if not please let me know which step I missed.. thank you
Isolate the variable x onto one side of the equation:
6-2x = 6x-10x+14
-2x = 6x-10x+8 (subtract 6 from both sides)
-2x = -4x+8 (add 6x and -10x)
2x = 8 (add 4x to both sides)
x = 4 (divide each side by 2)
thank you I now understand what i missed and did wrong I wrote down your tips I will use it next time when I have another simular question thank you
You're welcome! :)
To check the answer, you need to substitute x=-2 back into the original equation and see if it satisfies the equation.
Let's substitute x=-2 into the equation:
6 - 2(-2) = 6(-2) - 10(-2) + 14
Now simplify both sides:
6 + 4 = -12 + 20 + 14
10 = 2 + 20 + 14
10 = 22 + 14
10 ≠ 36
Since the equation is not satisfied when x=-2, your answer is incorrect.
To find the correct solution, let's go through the process step by step:
6 - 2x = 6x - 10x + 14
Combine like terms:
6 - 2x = -4x + 14
Group the x terms:
6 + 4x = 14
Subtract 6 from both sides:
4x = 8
Divide both sides by 4 to isolate x:
x = 2
So the correct solution is x = 2.