Answer:
The value of x in the equation is: [tex]x=\frac{2}{5}[/tex]
Step-by-step explanation:
Given the equation
[tex]34x+2=54x-6[/tex]
Subtract 2 from both sides
[tex]34x+2-2=54x-6-2[/tex]
[tex]34x=54x-8[/tex]
Subtract 54x from both sides
[tex]34x-54x=54x-8-54x[/tex]
[tex]-20x=-8[/tex]
Divide by both sides by -20
[tex]\frac{-20x}{-20}=\frac{-8}{-20}[/tex]
[tex]x=\frac{2}{5}[/tex]
Therefore, the value of x in the equation is: [tex]x=\frac{2}{5}[/tex]