SOLUTION: 5(x-2) =3x+8

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Question 627960: 5(x-2) =3x+8
Found 3 solutions by jim_thompson5910, Maths68, lenny460:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%28x-2%29=3x%2B8 Start with the given equation.


5x-10=3x%2B8 Distribute.


5x=3x%2B8%2B10 Add 10 to both sides.


5x-3x=8%2B10 Subtract 3x from both sides.


2x=8%2B10 Combine like terms on the left side.


2x=18 Combine like terms on the right side.


x=%2818%29%2F%282%29 Divide both sides by 2 to isolate x.


x=9 Reduce.


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Answer:

So the solution is x=9

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Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
5%28x-2%29=3x%2B8
5x-10=3x%2B8 (Distribute)
Subtract 3x from both sides
5x-10-3x=3x%2B8-3x
5x-3x-10=3x-3x%2B8 combine like terms
2x-10=cross%283x%29-cross%283x%29%2B8
2x-10=8
Add 10 both sides
2x-10%2B10=8%2B10
2x-cross%2810%29%2Bcross%2810%29=18
2x=18
Divide by 2 both sides
2x%2F2=18%2F2
cross%282%29x%2Fcross%282%29=cross%2818%29%2Fcross%282%29
x=9

Check
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5%28x-2%29=3x%2B8
Put x=9
5%289-2%29=3%289%29%2B8
5%287%29=27%2B8
35=35





Answer by lenny460(1073) About Me  (Show Source):
You can put this solution on YOUR website!
5(x - 2) = 3x + 8

5 * x = 5x
5 * -2 = -10

5x - 10 = 3x + 8
Add 10 to each side of the equation
5x - 10 + 10 = 3x + 8 + 10
Combine like terms:
-10 + 10 = 0
8 + 10 = 18

Therefore:
5x = 3x + 18
Subtract 3x from each side of the equation
5x - 3x = 3x + 18 - 3x
Combine like terms:
5x - 3x = 2x
3x - 3x = 0

Therefore:
2x = 18
Divide each side by 2
2x/2 = 18/2
x = 9

The Answer:

x = 9


Check:
5(x - 2) = 3x + 8
5 (9 - 2) = 3(9) + 8
9 - 2 = 7
5(7) = 35

3(9) + 8
3(9) = 27 + 8 = 35
Therefore:
35 = 35


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