Question

What is the solution to the equation 5x - 2 = 2x + 13

Answer 1

x=5

Step-by-step explanation:

Given the equation:

`5x-2=2x+13`

First, we begin to collect like terms by adding 2 to both sides.

`\begin{gathered} 5x-2+2=2x+13+2 \\ 5x=2x+15 \end{gathered}`

Next, subtract 2x from both sides.

`\begin{gathered} 5x-2x=2x-2x+15 \\ 3x=15 \end{gathered}`

Finally, divide both sides of the equation by 3.

`\begin{gathered} (3x)/(3)=(15)/(3) \\ x=5 \end{gathered}`

The solution to the equation is 5.