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Question

Solve for x :
12x3+1x5=119,x32,5

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Solution

Given, 12x3+1x5=119
x5+2x3(2x3)(x5)=109
3x82x213x+15=109
9(3x8)=10(2x213x+15)
27x72=20x2130x+150
20x2157x+222=0
20x2120x37x+222=0
20x(x6)37(x6)=0
(x6)(20x37)=0
Either x - 6 = 0 or 20x - 37 = 0
x=6,x=3720

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