Question 811641: Solve 2/3(3x + 14) = 7x + 6, by first multiplying both sides of the equation by 3, then applying the distribute property to the left side of the equation
How can you do this problem by using this step as described above?
*note 2/3 is a fraction
thanks, wow560
Found 2 solutions by brysca, MathTherapy:
Answer by brysca(112)   (Show Source):
You can put this solution on YOUR website! 2/3(3x + 14) = 7x + 6
The distributive property is just basically saying to distribute the 3 to the terms (7x+6) and 2/3(3x+14).
This becomes
2(3x+14) = 3(7x+6)
Distribute the 2 and 3.
6x+28 = 21x + 18
Subtract 6x
28 = 15x +18
Subtract 18
10 = 15x
3/2 = x
x= 3/2
Answer by MathTherapy(10555)  (Show Source):
You can put this solution on YOUR website!
Solve 2/3(3x + 14) = 7x + 6, by first multiplying both sides of the equation by 3, then applying the distribute property to the left side of the equation
How can you do this problem by using this step as described above?
*note 2/3 is a fraction
thanks, wow560
By either cross-multiplication or multiplying both sides by LCD, 3, we get:
2(3x + 14) = 3(7x + 6)
Solve to get: 
You can do the check!!
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