[tex]\frac{1}{4}x + 2 = -3 + \frac{1}{2} x[/tex]
First, we will take [tex]\frac{1}{4}[/tex]x to the right hand side of the equation, and -3 to the left hand side. In doing so, their signs will change (that is, they will be subtracted from the side that they are moved to).
2 -(-3) = [tex]\frac{1}{2} x - \frac{1}{4} x[/tex]
2 + 3 = [tex]\frac{1}{4}[/tex]x
[tex]\frac{1}{4} x = 5[/tex]
Now, we will multiply both sides by 4, so as to find x.
[tex]\frac{1}{4} x[/tex] x 4 = 5 x 4
x = 20
Therefore, x = 20.
