SOLUTION: solve each eqation. 4(3x-6)= -2(x-3)

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Question 673718: solve each eqation.
4(3x-6)= -2(x-3)
Found 2 solutions by ReadingBoosters, jim_thompson5910:
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
4(3x-6) = -2(x-3)
...
4(3x) + 4(-6) = -2(x) - 2(-3)
...
12x - 24 = -2x + 6
...
12x + 2x = 6 + 24
14x = 30
...
highlight_green%28x+=+30%2F14+=+15%2F7%29
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Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4%283x-6%29=-2%28x-3%29 Start with the given equation.


12x-24=-2x%2B6 Distribute.


12x=-2x%2B6%2B24 Add 24 to both sides.


12x%2B2x=6%2B24 Add 2x to both sides.


14x=6%2B24 Combine like terms on the left side.


14x=30 Combine like terms on the right side.


x=%2830%29%2F%2814%29 Divide both sides by 14 to isolate x.


x=15%2F7 Reduce.


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Answer:

So the solution is x=15%2F7