Answer: [tex]x=9/2[/tex]
Simplify both sides of the equation
[tex]1/2x+2=x+-1/4[/tex]
Subtract x from both sides
[tex]1/2x+2-x=x+-1/4-x\\-1/2x+2=-1/4[/tex]
Subtract 2 from both sides
[tex]-1/2x+2-2=-1/4-2\\-1/2x=-9/4[/tex]
Multiply both sides by 2/(-1)
[tex](2/-1)*(-1/2x)=(2/-1)*(-9/4)\\x=9/2[/tex]
