SOLUTION: Solve the value of x in the equation below: 2(3x+1)=10x-6

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Question 199678: Solve the value of x in the equation below:
2(3x+1)=10x-6
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2(3x+1)=10x-6
6x+2 = 10x-6
6x+8 = 10x
8 = 4x
x = 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%283x%2B1%29=10x-6 Start with the given equation.


6x%2B2=10x-6 Distribute.


6x=10x-6-2 Subtract 2 from both sides.


6x-10x=-6-2 Subtract 10x from both sides.


-4x=-6-2 Combine like terms on the left side.


-4x=-8 Combine like terms on the right side.


x=%28-8%29%2F%28-4%29 Divide both sides by -4 to isolate x.


x=2 Reduce.


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Answer:

So the solution is x=2