Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]2x-3y+5-\left(x-3y\right)=11-2x[/tex]
Remove brackets and flip the sign in the brackets:
[tex]2x-3y+5-x+3y=11-2x[/tex]
Group the similar terms together:
[tex]-3y+3y+2x-x+5=11-2x[/tex]
Add/subtract the terms:
[tex]x+5=11-2x[/tex]
Subtract 5 from both sides:
[tex]x+5-5=11-2x-5[/tex]
[tex]x=-2x+6[/tex]
Add 2x to both sides:
[tex]x+2x=-2x+6+2x[/tex]
[tex]3x=6[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3}=\frac{6}{3}[/tex]
[tex]x=2[/tex]