Question

Solve the linear equation.5x + 2 = 3x + 40The solution set is

Answer 1

To solve the equation, we can first get all the terms without x to the right side and all the terms with x to the lesft side.

We start by substracting 2 from both sides:

`\begin{gathered} 5x+2=3x+40 \\ 5x+2-2=3x+40-2 \\ 5x=3x+38 \end{gathered}`

Now, we substract 3x from both sides:

`\begin{gathered} 5x=3x+38 \\ 5x-3x=3x-3x+38 \\ 2x=38 \end{gathered}`

Now that we have only terms with x on the left side and only terms without x on the right side, we can finish the solve by dividing both sides by 2:

`\begin{gathered} 2x=38 \\ (2x)/(2)=(38)/(2) \\ x=19 \end{gathered}`

So, the solutions set is {19}.