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Chapter 2: Problem 12

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Eight subtracted from six times a number is \(298 .\) Find the number.

Short Answer

Expert verified
The number is 51.

Step by step solution

01

Translation of word problem into a mathematical equation

The word problem says 'eight subtracted from six times a number.' This can be converted into the equation: 6x - 8 = 298.
02

Solve for x

To isolate x, you first add 8 to both sides of the equation. This gives us: 6x = 306. Now, to solve for x, we divide both sides by 6, giving us the solution: x = 306 / 6.
03

Derive the value of x

Finally, we find the value of x by doing the division: x = 51. Thus, the unknown number is 51.

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