Answer: [tex]x=2[/tex]
Step-by-step explanation:
Let's solve your equation step-by step
[tex]3(4-2x)=x-2[/tex]
First we need to use the distributive property
[tex](3)(4)-(3)(2x)=x-2\\-6x+12=x-2[/tex]
Now let's subtract x from both sides
[tex]-6x+12-x=x-2-x\\-7x+12=-2[/tex]
Next let's subtract 12 from both sides
[tex]-7x+12-12=-2-12\\-7x=-14[/tex]
Finally divide both sides by -7
[tex]\frac{-7x}{-7} =\frac{-14}{-7} \\x=2[/tex]