solve the first five problems
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Answer: (i) x/3 - 6 = 5/2
=> x/3 = 5/2+6
by taking lcm,
=> x/3 = (5+12)/2
=> x/3 = 17/2
=>x = 17/2 × 3
=> x = 51/2 or x = 25.5
ii) 2x/3 - 3x/8 = 7/12
=> by taking lcm
=> (16x - 9x)/24 = 7/12
=> 7x/24= 7/12
=> x = 7/12 × 24/7
=> x = 2
iii) (x+2)(x+3) + (x-3)(x-2)- 2x(x+1)=0
=> [x(x+3)+2(x+3)]+[x(x-2)-3(x-2)]-2x(x+1)=0
=> x²+3x +2x + 6 + x² - 2x - 3x + 6 - 2x² - 2x = 0
=> 2x² - 2x² + 5x - 5x + 12
=> 0-0 +12 = 0
=. 12
iv) 1/10 - 7/x = 35
=> -7/x= 35 + 1/10
=> - 7/x = (350 +1) /10
=> -7/x= 351/10
=> 1/x= 351 / 10 × -1/7
=> 1/x = -351/70
=> x = -70/351
v) 13(x-4) - 3(x-9) - 5(x+4)=0
=> 13x-52 - 3x + 27 - 5x - 20 = 0
=> 13x-3x-5x + 52 +27-20=0
=> 5x + 59 =0
=> 5x = -59
=>x= -59/5
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