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Solve the equation 10x+14= - 2x+38 explaining all the steps of your solution as in the examples in this section.

User Zhaoqing
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1 Answer

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10x+14=-2x+38

To solve the given equation:

1. Add 2x in both sides of the equation:


\begin{gathered} 10x+2x+14=-2x+2x+38 \\ \\ \text{Combine like terms:} \\ 12x+14=38 \end{gathered}

2. Subtract 14 in both sides of the equation:


\begin{gathered} 12x+14-14=38-14 \\ \\ 12x=24 \end{gathered}

3. Divide both sides of the equation into 12:


\begin{gathered} (12)/(12)x=(24)/(12) \\ \\ x=2 \end{gathered}

Then, the solution for the given equation is x=2

User Jack Frost
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