Question

What is the solution for x in the equation? 5/3x+4=2/3x

Answer 1

Given

`(5)/(3)x+4=(2)/(3)x`

Solution

Multiply all through by 3 to clear the fraction and then collect like terms

`\begin{gathered} \:3*(5)/(3)x+3*4=3*(2)/(3)x\: \\ \\ \:5x+12=2x\: \\ collect\text{ the like terms} \\ 5x-2x=-12 \\ 3x=-12 \\ divide\text{ both sides by 3} \\ (3x)/(3)=-(12)/(3) \\ \\ x=-4 \end{gathered}`

The final answer

Option D

`x=-4`