Question

Solve for x: 2/3 + 1/3x = 2x

(A) x= 1/2
(B) x= 5/2
(C) x= 2
(D) x= 2/5

Answer 1

`\tt (D)\; \tt x=\cfrac{2}{5}`

Explanation:

`\tt \cfrac{2}{3}+\cfrac{1}{3}x=2x`

Simplify 1/3x = x/3:-

• 
  `\tt \cfrac{2}{3}+\cfrac{x}{3}=2x`

Join denominators:-

• 
  `\tt \cfrac{2+x}{3}=2x`

Multiply both sides by 3:-

• 
  `\tt 2+x=6x`

Subtract x from both sides :-

• 
  `\tt 2=6x-x`

• 
  `\tt 2=5x`

Divide both sides by 5:-

• 
  `\tt \cfrac{2}{5}=\cfrac{5x}{5}`

• 
  `\tt x=\cfrac{2}{5}`

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Hope this helps!