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select the equation that has no solution.
a.
3(2x + 7) = 6(x + 4) – 3
b.
3(6x – 5) = 3(6x – 5) + x
c.
8(x – 3) + 14 = 2(4x + 5)
d.
13x – 7 = 12(x – 1) + x + 5

Option C) 8(x-3)+14=2(4x+5) is the correct equation that has no solution

Step-by-step explanation:

Given equation is 8(x-3)+14=2(4x+5)

To verify that the given equation has solution or no solution :

8(x-3)+14=2(4x+5)

Applying the distributive property to the above equation we get

8x-24+14=8x+10

8x-10=8x+10

The given equation is not satisfied.

Therefore the given equation has no solution

Option C) 8(x-3)+14=2(4x+5) is the correct equation that has no solution