SOLUTION: the Distributive Property (Fractions) Solve the equation: 5/7 (x+14)=15

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Question 56624: the Distributive Property (Fractions) Solve the equation:
5/7 (x+14)=15
Found 2 solutions by funmath, wgomero:
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
the Distributive Property (Fractions) Solve the equation:
%285%2F7%29%28x%2B14%29=15
%285%2F7%29%28x%29%2B%285%2F7%29%2814%29=15
%285%2F7%29x%2B5%2814%2F7%29=15
%285%2F7%29x%2B5%282%29=15
%285%2F7%29x%2B10=15
%285%2F7%29x%2B10-10=15-10
%285%2F7%29x=5
%287%2F5%29%285%2F7%29x=%287%2F5%29%285%29
x=7%285%2F5%29
highlight%28x=7%29
:
Check by substituting x=7 into the original equation and see if both sides equal:
%285%2F7%29%28highlight%287%29%2B14%29=15
%285%2F7%29%2821%29=15
5%2821%2F7%29=15
5%283%29=15
15=15 We're right!!!
Happy Calculating!!!

Answer by wgomero(28) About Me  (Show Source):
You can put this solution on YOUR website!
resolution:
5/7 (x + 14) = 15;
5(x+14) = 15.7;
5x + 70 = 105
5x = 105 - 70
5x = 35
x=35/5
x=7