Question

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

Answer 1

`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