SOLUTION: Solve: 3x-2(x-1)=x-6 I came up with x+2=x-6 which means no solution and got it wrong. Please help with the steps.

Algebra ->  College  -> Linear Algebra -> SOLUTION: Solve: 3x-2(x-1)=x-6 I came up with x+2=x-6 which means no solution and got it wrong. Please help with the steps.      Log On


   

Question 615518: Solve:
3x-2(x-1)=x-6
I came up with x+2=x-6 which means no solution and got it wrong. Please help with the steps.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3x-2%28x-1%29=x-6 Start with the given equation.


3x-2x%2B2=x-6 Distribute.


x%2B2=x-6 Combine like terms on the left side.


x=x-6-2 Subtract 2 from both sides.


x-x=-6-2 Subtract x from both sides.


0x=-6-2 Combine like terms on the left side.


0x=-8 Combine like terms on the right side.


0=-8 Simplify.


Since this equation is NEVER true for any x value, this means that there are no solutions.


So you got the right answer.