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Does 3(2x+1=2(2x+1) have one solution, infinite solutions or many solutions

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Answer:

Explanation:

To solve this you need to solve each side of the equation first. Let's start with the right side.

3(2x + 1) = ? (Distribute the 3)

6x + 3 = ? (Subtract the 3 from each side of the equation.)

6x = -3 (Divide by 6 on each side)

x = -1/2

Now lets solve the other side.

2(2x + 1) = ? (Distribute the 2)

4x + 2 = ? (Subtract 2 from each side of the equation.)

4x = -2 (Divide by 4 on each side of the equation)

x = -1/2

Both equations have equivalent x values therefore it can't be no solution.

Now plug in a different value to see if it's infinite.

3(2(1) + 1) = 2 (2(1) + 1)

9 = 6

Therefore it can't be infinite equations, there is one solution.

User Nathan Teyou
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