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If a number, x๐‘ฅ, is increased by 77, it will be equal to twice the same number decreased by 33. The correct equation for the above statement isA.7x=3(2x)7๐‘ฅ=3(2๐‘ฅ)B.xโˆ’7=2(x+3)๐‘ฅโˆ’7=2(๐‘ฅ+3)C.x+7=2xโˆ’3๐‘ฅ+7=2๐‘ฅโˆ’3D.7x=2xโˆ’3

Question

If a number, x๐‘ฅ, is increased by 77, it will be equal to twice the same number decreased by 33. The correct equation for the above statement isA.7x=3(2x)7๐‘ฅ=3(2๐‘ฅ)B.xโˆ’7=2(x+3)๐‘ฅโˆ’7=2(๐‘ฅ+3)C.x+7=2xโˆ’3๐‘ฅ+7=2๐‘ฅโˆ’3D.7x=2xโˆ’3

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Solution

The correct equation for the statement "If a number, x, is increased by 7, it will be equal to twice the same number decreased by 3" is C. x + 7 = 2x - 3.

Here's the step-by-step process:

  1. Identify the unknown, which is the number x in this case.
  2. Translate the words into an equation. "A number (x) increased by 7" can be written as x + 7. "Twice the same number (2x) decreased by 3" can be written as 2x - 3.
  3. Set the two expressions equal to each other because the problem says they are equal. So, x + 7 = 2x - 3 is the correct equation.

This problem has been solved

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