25/18
Step-by-step explanation:
The given equation is a simple algebraic equation with only one unknown variable [tex]x[/tex].
[tex]\frac{1}{2}x-\frac{5}{4}+2x=\frac{5}{6}+x[/tex]
Let us take all the [tex]x[/tex] containing terms to left hand side and remaining terms to right hand side.
[tex]\frac{1}{2}x+2x-x=\frac{5}{4}+\frac{5}{6}[/tex]
[tex](\frac{1}{2}+1)x=\frac{5\times 6+5\times 4}{6\times 4}[/tex]
[tex]\frac{3}{2}x=\frac{50}{24}[/tex]
[tex]x=\frac{50}{36}=\frac{25}{18}[/tex]
∴ [tex]x=\frac{25}{18}=1.39[/tex]
The given options must be wrong.
