SOLUTION: I have been struggling with this math problem for awhile now and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank You!! Adding and Su

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Question 129842This question is from textbook Algebra Structure and Method
: I have been struggling with this math problem for awhile now and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank You!!

Adding and Subtracting Polynomials
Solve.
3-2x(x-1)=x(3-2x)-(x-3) This question is from textbook Algebra Structure and Method

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
3-2x%28x-1%29=x%283-2x%29-%28x-3%29

First use the distributive property and remove parentheses. Pay particular attention to the signs:
3-2x%5E2%2B2x=3x-2x%5E2-x%2B3

Collect like terms on the left:
3-2x%5E2%2B2x=2x-2x%5E2%2B3

Now add -%282x-2x%5E2%2B3%29 to both sides, leaving you with 0 on the left:
3-2x%5E2%2B2x-2x%2B2x%5E2-3=0

Collect like terms:
3-2x%5E2%2B2x-2x%2B2x%5E2-3=0

0=0

Since the result is always true, that means that the equation is true for all real numbers.