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How many solutions does the equation have? 4(2x+3)=2(3x-4) A. one solution B. infinite solutions C. no solutions
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How many solutions does the equation have?

4(2x+3)=2(3x-4)

A. one solution
B. infinite solutions
C. no solutions

User AsheKetchum
by
8.0k points

2 Answers

4 votes
A. One Solution.
If you distribute the 4 and 2 you're left with
8x+12=6x-8
+8 to both sides
8x+20=6x
-8x both sides
20=-2x
Divide by -2
X=-10
User Hage
by
8.3k points
4 votes

4(2x+3)=2(3x-4)\\ 8x+12=6x-8\\ 2x=-20\\ x=-10 \Rightarrow A
User Sophi
by
8.4k points
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