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Chapter 2: Problem 9

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The sum of four and twice a number is \(56 .\) Find the number.

Short Answer

Expert verified
The number is \(x = 26\).

Step by step solution

01

Write the problem in equation form

The given statement, 'The sum of four and twice a number is 56', can be translated into the following equation: \(4 + 2x = 56\). Here, \(x\) represents the unknown number.
02

Isolate x

In order to find the value of \(x\), we need to isolate \(x\) on one side of the equation. We will do this by subtracting 4 from both sides, which results in: \(2x = 56 - 4\).
03

Solve for x

Further simplifying finds: \(2x = 52\). Finally, divide by 2 from both sides results in \(x = 52 / 2\).

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