Answer:
A: x = all real numbers
B: x = 8/3
Step-by-step explanation:
Part A:
[tex]3x-6+1=-2x-5+5x[/tex]
Combine like terms:
[tex]3x-5=-5+3x[/tex]
Add 5 to both sides:
[tex]3x=3x[/tex]
Divide each side by 3x:
[tex]1=1[/tex]
All real numbers are valid solutions.
Part B:
[tex]-2x - 5 = 2 - 4x - (x - 1)[/tex]
Distribute the negative in front of the parenthesis:
[tex]-2x - 5 = 2 - 4x -x+1[/tex]
Combine like terms:
[tex]-2x - 5 = 3 -5x[/tex]
Add 5x to each side:
[tex]3x - 5 = 3[/tex]
Add 5 to each side:
[tex]3x=8[/tex]
Divide each side by 3:
[tex]\frac{8}{3} =x[/tex]
