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Finding a for a solution set of all real numbers

Find a such that the solution set of ax+3=2x+3(x+1) is the set of all real numbers.


One Answer:
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you want the left and right side of

ax+3=2x+3(x+1)

to be the same

ax+3=2x+3(x+1)

ax+3=2x+3x+3

ax+3=5x+3

you want a=5

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