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Chapter 2: Problem 11

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Seven subtracted from five times a number is \(178 .\) Find the number.

Short Answer

Expert verified
Hence, the value of \(x\) is 37.

Step by step solution

01

Translate words into equation

The given statement translates to: \(5x - 7 = 178\).
02

Simplify the equation

Taking 7 to the other side by adding 7 to both sides gives a simplified equation: \(5x=178 +7\), which can be further simplified to \(5x = 185\).
03

Solve for x

Now, to find the number \(x\), divide the whole equation by 5: \(x = 185 / 5\).

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