230k views
1 vote
What is the solution to the equation 5x - 2 = 2x + 13

User Olppah
by
7.5k points

1 Answer

3 votes

Answer:

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.

User Kushal
by
7.0k points