Answer :
Answer:
x=5
Explanation:
Given the equation:
[tex]5x-2=2x+13[/tex]First, we begin to collect like terms by adding 2 to both sides.
[tex]\begin{gathered} 5x-2+2=2x+13+2 \\ 5x=2x+15 \end{gathered}[/tex]Next, subtract 2x from both sides.
[tex]\begin{gathered} 5x-2x=2x-2x+15 \\ 3x=15 \end{gathered}[/tex]Finally, divide both sides of the equation by 3.
[tex]\begin{gathered} \frac{3x}{3}=\frac{15}{3} \\ x=5 \end{gathered}[/tex]The solution to the equation is 5.