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If 2x+11=3x+4 then why does x=

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The given expression is


2x+11=3x+4

First, we subtract 11 on each side


\begin{gathered} 2x+11-11=3x+4-11 \\ 2x=3x-7 \end{gathered}

Then, we subtract 3x on each side


\begin{gathered} 2x-3x=3x-7-3x \\ -x=-7 \\ x=7 \end{gathered}

Therefore, the solution is 7.

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