Question

Very detailed explanation on how to solve these types of questions using this one as an example?

Answer 1

To solve this kind of equation, first, we have to put the terms that include the variable on one side of the equation and the terms that do not include the variable ( the constants) on the other side of the equation.

Subtracting 3x from the equation we get:

`\begin{gathered} 3x+7-3x=11x+15-3x, \\ 7=8x+15. \end{gathered}`

Subtracting 15 from both sides of the equation we get:

`\begin{gathered} 7-15=8x+15-15, \\ -8=8x\text{.} \end{gathered}`

Finally, we have to divide by the coefficient next to the variable, in this case, 8:

`\begin{gathered} -(8)/(8)=(8x)/(8), \\ x=-1. \end{gathered}`