If a number, x๐ฅ, 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)7๐ฅ=3(2๐ฅ)B.xโ7=2(x+3)๐ฅโ7=2(๐ฅ+3)C.x+7=2xโ3๐ฅ+7=2๐ฅโ3D.7x=2xโ3
Question
If a number, x๐ฅ, 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)7๐ฅ=3(2๐ฅ)B.xโ7=2(x+3)๐ฅโ7=2(๐ฅ+3)C.x+7=2xโ3๐ฅ+7=2๐ฅโ3D.7x=2xโ3
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:
- Identify the unknown, which is the number x in this case.
- 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.
- Set the two expressions equal to each other because the problem says they are equal. So, x + 7 = 2x - 3 is the correct equation.
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