The Solution:
Given the equation:
[tex]2(2x-5)=3x+x-2x[/tex]We are asked to solve for x.
Step 1:
Clear the bracket.
[tex]\begin{gathered} 4x-10=3x+x-2x \\ 4x-10=4x-2x \\ 4x-10=2x \end{gathered}[/tex]Step 2:
Subtracting 4x from both sides, we get
[tex]\begin{gathered} 4x-4x-10=2x-4x \\ \\ -10=-2x \end{gathered}[/tex]Step 3:
Divide both sides by -2, we get
[tex]\begin{gathered} \frac{-10}{-2}=\frac{-2x}{-2} \\ \\ 5=x \\ x=5 \end{gathered}[/tex]Therefore, the correct answer is: x = 5
