Answer:
x=0.61
Explanation:
Hi! I hope this explanation helps. This is the way I would do it by using PEMDAS.
The equation is 3x-6=4(2-3x)-8x, so write that out first.
Using PEMDAS, multiply 4 by 2 and then by -3x.
3x-6=4(2-3x)-8x —> 4(2-3x) —> 3x-6=8-12x-8x
Then combine -12x and -8x, because they share the same variable.
= 3x-6=8-20x
After that, add 6 to -6, and 6 to 8, along with adding 20x to 20x and 3x.
3x - 6 =. 8 - 20x
+20x +6 +6 +20x
This will cancel out the -6 on the left side, and the -20x on the right.
So, you will get
23x = 14
To get your final answer, you cannot have a number in-front of your variable (forgot the correct wording, sorry), so you must divide it.
23x = 14
—- ——
23 23
So, your answer will be x=0.61, or in a fraction, 14/23.
Have a good day！！