Answer and Step-by-step explanation:
The answer for this linear equation is : [tex]x=\frac{22}{3}[/tex]
Let's Solve your equation step-by-step :
[tex]x=\frac{22}{3}[/tex]
Step 1 : Simplify both the sides of the equation :
[tex]\frac{x}{4}+\frac{x-5}{2}=3[/tex]
[tex]\frac{x}{4}+\frac{1}{2}x+\frac{-5}{2}=3[/tex] (By Distributing)
[tex]\frac{1}{4}x+\frac{1}{2}x+\frac{-5}{2}=3[/tex]
[tex](\frac{1}{4}x+\frac{1}{2}x )+(\frac{-5}{2})=3[/tex] (combining the like terms)
[tex]\frac{3}{4}x+\frac{-5}{2}=3[/tex]
Step 2 : Add [tex]\frac{5}{2}[/tex]to both sides :
[tex]\frac{3}{4}x +\frac{-5}{2}+\frac{5}2} =3+\frac{5}{2}[/tex]
[tex]\frac{3}{4}x=\frac{11}{2}[/tex]
Step 3 : Now, multiply both the sides by [tex]\frac{4}{3}[/tex] :
[tex](\frac{4}{3})[/tex] × [tex](\frac{3}{4}x)[/tex] = [tex](\frac{4}{3})[/tex] × [tex](\frac{11}{2})[/tex]
[tex]x=\frac{22}{3}[/tex]
We've got our answer as : [tex]x=\frac{22}{3}[/tex]
