Hello!
The answer to your problem is: [tex]x=1/13[/tex]
Simplify both sides of the equation
[tex](2)(-4x)+(2)(1)=(2/3)(x)+(2/3)(2)[/tex] [tex](Distribute)[/tex]
[tex]-8x+2=2/3x+4/3[/tex]
Subtract 2/3x from both sides
[tex]-8x+2-2/3x=2/3+4/3-2/3x[/tex]
[tex]-26x+2=4/3[/tex]
Subtract 2 from both sides
[tex]-26/3x+2-2=4/3-2[/tex]
[tex]-26/3=-2/3[/tex]
Multiply both sides by 3/(-26)
[tex](3/26)*(-26/3x)=(3/-26)*(-2/3)[/tex]
Get your answer
[tex]x=1/13[/tex]
Hope This Helps!