2/3(x-5)-1/4(x+2)=9/2
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x = 20
Step-by-step explanation:
2/3(x-5)-1/4(x+2)=9/2
firstly taking LCM of 3&4 = 12
{(2x4)(x-5) - (1x3)(x+2)}/12 =9/2
8(x-5) - 3(x+2)/12 = 9/2
8x-40-3x-6 = 9/2 x 12
5x - 46 = 9x6
5x = 54+46
5x = 100
x = 20
it's verification
taking LHS
2/3(x-5)-1/4(x+2)
put the value of x in equation
2/3(20 -5) - 1/4(20 +2)
2/3 x 15 - 1/4 x 22
10 - 22/4
taking LCM
(40 -22)/4
18/4
9/2
hence verified
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