Question

Solve for ""
1.x/4+(x-5)/2=3

Answer 1

Answer and Step-by-step explanation:

The answer for this linear equation is : $x=\frac{22}{3}$

Let's Solve your equation step-by-step :

$x=\frac{22}{3}$

Step 1 : Simplify both the sides of the equation :

$\frac{x}{4}+\frac{x-5}{2}=3$

$\frac{x}{4}+\frac{1}{2}x+\frac{-5}{2}=3$ (By Distributing)

$\frac{1}{4}x+\frac{1}{2}x+\frac{-5}{2}=3$

$(\frac{1}{4}x+\frac{1}{2}x )+(\frac{-5}{2})=3$ (combining the like terms)

$\frac{3}{4}x+\frac{-5}{2}=3$

Step 2 : Add $\frac{5}{2}$to both sides :

$\frac{3}{4}x +\frac{-5}{2}+\frac{5}2} =3+\frac{5}{2}$

$\frac{3}{4}x=\frac{11}{2}$

Step 3 : Now, multiply both the sides by $\frac{4}{3}$ :

$(\frac{4}{3})$ × $(\frac{3}{4}x)$ = $(\frac{4}{3})$ × $(\frac{11}{2})$

$x=\frac{22}{3}$

We've got our answer as : $x=\frac{22}{3}$