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Must answer in integers only and reduced fractions if needed and no decimals

Must answer in integers only and reduced fractions if needed and no decimals-example-1
User Ranj
by
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1 Answer

12 votes
12 votes

ANSWER


x=3

Step-by-step explanation

We want to solve the equation using a common base. Since the bases on both sides of the equation are equal, the exponents are also equal.

This implies that:


3x-7=5-x

Collect like terms and simplify:


\begin{gathered} 3x+x=5+7 \\ 4x=12 \\ x=(12)/(4) \\ x=3 \end{gathered}

That is the solution.

User MoshiBin
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