SOLUTION: Solve the equation. 7(x + 3) = 7x + 21

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Question 600896: Solve the equation. 7(x + 3) = 7x + 21
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
7%28x%2B3%29=7x%2B21 Start with the given equation.


7x%2B21=7x%2B21 Distribute.


7x=7x%2B21-21 Subtract 21 from both sides.


7x-7x=21-21 Subtract 7x from both sides.


0x=21-21 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.