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goblinko [34]
4 years ago
9

Determine which expressions, if any, are equivalent. Show your work. 4(x - 3)

Mathematics
1 answer:
Katena32 [7]4 years ago
6 0

Answer:

4(x - 3) and x + 3(x-2) - 6 are equivalent.

Step-by-step explanation:

4(x - 3)  = 4x - 12

6x - 2(x - 3)  = 6x - 2x + 6 = 4x + 6

x + 3(x - 2) - 6 = x + 3x - 6 - 6 = 4x - 12

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The way i got this answer was by solving the equation using the following steps. Since you're solving for one side and have two different equations, put an equal sign in between the two equations to get the equation set up above. Then you need to have the x variable on one side, instead of both sides, so you take 3x and subtract it from both sides, leaving x on one side, because 4x-3x is equal to 1x, or just x. Then we need to have what is not attached to a variable on the other side to make it easier to solve, so you would need to subtract 8 from both sides to get rid of the 8 on the side with the variable, because if you subtract 12 from both sides, it will just make it more confusing to solve, and then 12-8 is equal to 4, so you get x is equal to 4.

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