Answer
The answer is $14$.
Work Step by Step
The given equation is
$ \frac{x+3}{4}=\frac{x-2}{3}+\frac{1}{4} $
Multiply both sides by $ 12$.
$ 12\cdot (\frac{x+3}{4})= 12\cdot (\frac{x-2}{3})+ 12\cdot (\frac{1}{4}) $
$ 3(x+3)= 4(x-2)+ 3 $
Clear the parentheses.
$ 3x+9=4x-8+3 $
Add like terms.
$ 3x+9=4x-5 $
Rearrange.
$ 9+5=4x-3x $
Add like terms.
$ 14=x $.
