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Find the value of the x. 9(x-3)=5(2-x)

User Arnonuem
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1 Answer

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Solution

We want to find x in the equation


9(x-3)=5(2-x)

So we basically need to expand the bracket, collect like terms and solve for x


\begin{gathered} 9(x-3)=5(2-x) \\ open\text{ the bracket} \\ 9x-27=10-5x \\ collect\text{ like terms} \\ 9x+5x=10+27 \\ 14x=37 \\ divide\text{ both sides by 14} \\ (14x)/(14)=(37)/(14) \\ x=(37)/(14) \end{gathered}

Therefore, the answer is


x=(37)/(14)

User Jaffar
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