Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Write an equation and solve.

A number increased by 13 is 2 times the sum of the number and 2.

The equation is [tex]x + 13 = 2(x + 2)[/tex].

(Type an equation using [tex]x[/tex] as the variable.)

The solution is [tex]x = \_\_\_\_]

Sagot :

GinnyAnswer
Certainly! Let's solve the given equation step by step.

1. The initial equation is:
[tex]\[ x + 13 = 2(x + 2) \][/tex]

2. First, distribute the 2 on the right side:
[tex]\[ x + 13 = 2x + 4 \][/tex]

3. Next, we want to get all the terms involving [tex]\( x \)[/tex] on one side and the constants on the other. Subtract [tex]\( x \)[/tex] from both sides:
[tex]\[ 13 = x + 4 \][/tex]

4. Now, subtract 4 from both sides to isolate [tex]\( x \)[/tex]:
[tex]\[ 13 - 4 = x \][/tex]
[tex]\[ 9 = x \][/tex]

So, the solution to the equation is:
[tex]\[ x = 9 \][/tex]
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.