SOLUTION: I need help with this problem Topic is System of Linear Equation 3(x-7)-2(x-5)=x-11

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Question 361801: I need help with this problem Topic is System of Linear Equation
3(x-7)-2(x-5)=x-11
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%28x-7%29-2%28x-5%29=x-11 Start with the given equation.


3x-21-2x%2B10=x-11 Distribute.


x-11=x-11 Combine like terms on the left side.


x=x-11%2B11 Add 11 to both sides.


x-x=-11%2B11 Subtract x from both sides.


0x=-11%2B11 Combine like terms on the left side.


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


0=0 Simplify.


Since this equation is always true for any x value, this means x can equal any number. So there are an infinite number of solutions.