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Chapter 2: Problem 16

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Three times the sum of five and a number is \(48 .\) Find the number.

Short Answer

Expert verified
The solution to the equation is \(x = 11\).

Step by step solution

01

Setting up the equation

From the problem, it is known that three times the sum of five and a number is 48. This can be expressed as an equation: \(3 * (5 + x) = 48.\)
02

Simplifying the equation

By performing the multiplication, the equation can be simplified to: \(15 + 3x = 48.\)
03

Rearranging the equation to solve for x

The goal is to get \(x\) by itself on one side of the equation. Subtract \(15\) from both sides of the equation in order to isolate \(3x\): \(3x = 48 - 15\)
04

Simplifying the equation

Performing the subtraction simplifies the equation to: \(3x = 33.\)
05

Solving for x

Divide both sides of the equation by 3 to solve for \(x\): \(x = 33 / 3\)

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