93.7k views
2 votes
Four less than the sum of a number and 7 is eight more than twice that number. find the number.

1 Answer

2 votes

Answer:

-5

Explanation:

To find the number, let's break down the problem step by step.

First, let's assign a variable to represent the unknown number. Let's call it "x."

According to the problem, "four less than the sum of a number and 7" can be written as "(x + 7) - 4."

Next, the problem states that this expression is "eight more than twice that number." So, we can write this as "2x + 8."

Now, we can set up an equation based on the information given:

(x + 7) - 4 = 2x + 8

Let's solve this equation to find the value of x.

First, let's simplify the left side of the equation:

x + 7 - 4 = 2x + 8

x + 3 = 2x + 8

Next, let's isolate the variable by subtracting x from both sides:

x - x + 3 = 2x - x + 8

3 = x + 8

To isolate x, we need to get rid of the 8 by subtracting it from both sides:

3 - 8 = x + 8 - 8

-5 = x

Therefore, the number is -5.

To check our answer, let's substitute -5 into the original equation and see if it holds true:

( -5 + 7) - 4 = 2(-5) + 8

2 - 4 = -10 + 8

-2 = -2

The equation holds true, which confirms that the number is indeed -5.

User Pent
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories