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

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


Distribute.


Add to both sides.


Subtract from both sides.


Combine like terms on the left side.


Combine like terms on the right side.


Divide both sides by to isolate .


Reduce.


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Answer:

So the solution is

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Answer by Maths68(1474)   (Show Source): You can put this solution on YOUR website!

(Distribute)
Subtract 3x from both sides

combine like terms


Add 10 both sides



Divide by 2 both sides




Check
=====

Put








Answer by lenny460(1073)   (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


obuong3@aol.com





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