SOLUTION: how do you simplify 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13?

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Question 216707: how do you simplify 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5%28-3x-2%29-1%28x-3%29=-4%284x%2B5%29%2B13 Start with the given equation.


-15x-10-1x%2B3=-16x-20%2B13 Distribute.


-16x-7=-16x-20%2B13 Combine like terms on the left side.


-16x-7=-16x-7 Combine like terms on the right side.


-16x=-16x-7%2B7 Add 7 to both sides.


-16x%2B16x=-7%2B7 Add 16x to both sides.


0x=-7%2B7 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.