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19 votes
19 votes
6x-7=1-3x
6x-7=1-3x

User Midori
by
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2 Answers

12 votes
12 votes

Answer:

x=8/9

Explanation:

step one: move x to one side. to do this, we are going to use inverse operations which means adding 3x to both sides.

3x+-3x cancels itself out and 3x+6x=9x.

now, the equation looks like: 9x-7=1

step two: isolate the variable, x. we want to just get x to be by itself so we need to get rid of the -7 next to it by using inverse operations again. this means we're going to add 7 to both sides.

7+-7 cancels itself out and 7+1=8.

now, the equation looks like 9x=8

step three: divide to get x by itself. we want to know what x alone is, not 9x. to do this we are going to use inverse operations one last time. this means dividing each side by 9, because 9x means "9 times x".

9x/9= x, 8/9

so the answer is x=8/9

hope this helped!!

User Sean Anderson
by
3.1k points
8 votes
8 votes
6x-7=1-3x
+3x +3x
9x-7=1
+7 +7
9x=8
/9 /9
x=8/9
User Just So
by
3.3k points