Question

x+5/3+x/3=20
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Answer 1

Answer:

The value of x is

$\displaystyle{\boxed{\red{\sf\:x\:=\:\dfrac{55}{2}\:}}}$

Step-by-step-explanation:

The given equation is

$\displaystyle{\sf\:\dfrac{x\:+\:5}{3}\:+\:\dfrac{x}{3}\:=\:20}$

We have to find the value of x.

Now,

$\displaystyle{\sf\:\dfrac{x\:+\:5}{3}\:+\:\dfrac{x}{3}\:=\:20}$

$\displaystyle{\implies\sf\:\dfrac{x\:+\:5\:+\:x}{3}\:=\:20}$

$\displaystyle{\implies\sf\:x\:+\:x\:+\:5\:=\:20\:\times\:3}$

$\displaystyle{\implies\sf\:2x\:+\:5\:=\:60}$

$\displaystyle{\implies\sf\:2x\:=\:60\:-\:5}$

$\displaystyle{\implies\sf\:2x\:=\:55}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:x\:=\:\dfrac{55}{2}\:}}}}$