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.

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) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Distribute.

Combine like terms on the left side.

Subtract from both sides.

Subtract from both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Simplify.

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

So you got the right answer.
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