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What is the answer to 3x-6=4(2-3x)-8x

2 Answers

3 votes

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!!

User Adam Tucholski
by
7.9k points
5 votes

Answer:

x = 14/23

Explanation:

3x - 6 = 4(2 - 3x) - 8x

3x - 6 = 8 - 12x - 8x

3x + 12x + 8x = 8 + 6

23x = 14

x = 14/23

User Ingo Steinke
by
8.5k points

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