An equation is formed of two equal expressions. The given equation 12x+1=3(4x+1)-2 has infinite numbers of solutions.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find the solution to the equation we need to solve the given equatiopn. Therefore, the equation can be written as,
[tex]12x+1=3(4x+1)-2\\12x+1=12x+3-2\\12x+1=12x+1[/tex]
As we can see that both sides of the equation are similar to each other, therefore, for any value of x the equation will be satisfied.
Thus, the given equation 12x+1=3(4x+1)-2 has infinite numbers of solutions.
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