SOLUTION: a)4x+3=13 b)2(x-1)=3(x+4)

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Question 198669: a)4x+3=13
b)2(x-1)=3(x+4)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a)

4x%2B3=13 Start with the given equation.


4x=13-3 Subtract 3 from both sides.


4x=10 Combine like terms on the right side.


x=%2810%29%2F%284%29 Divide both sides by 4 to isolate x.


x=5%2F2 Reduce.


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Answer:

So the solution is x=5%2F2 which in decimal form is x=2.5.



b)



2%28x-1%29=3%28x%2B4%29 Start with the given equation.


2x-2=3x%2B12 Distribute.


2x=3x%2B12%2B2 Add 2 to both sides.


2x-3x=12%2B2 Subtract 3x from both sides.


-x=12%2B2 Combine like terms on the left side.


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


x=%2814%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=-14 Reduce.


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Answer:

So the solution is x=-14