How do you solve #\frac{1}{3}(x+9)+\frac{1}{5}(x+5)=x-3#?

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Answer 1 · 2017-06-17T14:44:59

#x=15#

Multiply both sides by the common denominator 15.

#5(x+9)+3(x+5) = 15(x-3)#

Now distribute the coefficients.

#(5x + 45) + (3x + 15) = (15x - 45)#

Combine like terms:

#(5x+3x)+(45+15)=15x-45#

#8x + 60 = 15x - 45#

Finally, add 45 to both sides, subtract 8x, and then divide by 7.

#8x + 105 = 15x#

#105 = 7x#

#15 = x#

Final Answer