Question

5x-2(2x-7)=2(3x-1)+7/2

Answer 1

=>5x-2(2x-7)=2(3x-1)+7/2
=>5x-4x+14=6x+(-2+7/2)
=>1x+14=6x+(-2×2+7/2)
=>1x+14=6x +(-4+7/2)
=>1x+14=6x+3/2
=>1x-6x=3/2-14
=>(-5x)=3-14×2/2
=>(-5x)=(-25/2)
=>x= {-25/2×(-5)}
=> x = {-25/(-10)}
=> x = 5/2


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Answer 2

Solution:

Let's open the brackets,

LHS = 5x - 4x + 14 = x + 14

RHS = 6x - 2 + 7 / 2 = 6x - 4 /2 + 7/2 = 6x + 3 / 2

the equation is x +14 = 6x + 3/2

or 14 = 6x - x + 3/2

or 14 = 5x + 3/2

or 14 - 3/2 = 5x

or 28-3 / 2 = 5x

or 25/ 2 = 5x

or x= 25/2 × 1/5 = 5×5 ÷2×5= 5÷2

Therefore required solution is x = 5/2