Class 7 Exam  >  Class 7 Questions  >  2(3-2x)=13 Solve the problem and give you he ... Start Learning for Free
2(3-2x)=13 Solve the problem and give you he value of x?
Most Upvoted Answer
2(3-2x)=13 Solve the problem and give you he value of x?
Solving the equation 2(3-2x)=13:

To solve the equation 2(3-2x)=13, we will follow the steps below:

Step 1: Distribute the 2 to the terms inside the parentheses:
2 * 3 - 2 * (2x) = 13
6 - 4x = 13

Step 2: Combine like terms:
-4x = 13 - 6
-4x = 7

Step 3: Divide both sides of the equation by -4 to isolate x:
x = 7 / -4

Simplifying the solution:

To simplify the solution further, we can express 7 as -4 * (-2) + 1:
x = -4 * (-2) + 1 / -4
x = 8 - 1/4
x = 31/4

Therefore, the solution to the equation 2(3-2x)=13 is x = 31/4.

Explanation:

The given equation is a linear equation with one variable, x. Our goal is to find the value of x that satisfies the equation.

In the first step, we distribute the 2 to both terms inside the parentheses using the distributive property. This gives us 6 - 4x on the left side of the equation.

Next, we combine like terms by subtracting 6 from both sides of the equation. This simplifies the equation to -4x = 7.

To isolate x, we divide both sides of the equation by -4. This gives us x = 7 / -4.

To express the solution as a simplified fraction, we can rewrite 7 as -4 * (-2) + 1. This allows us to rewrite the solution as x = -4 * (-2) + 1 / -4. Simplifying further, we get x = 8 - 1/4.

Therefore, the solution to the equation 2(3-2x)=13 is x = 31/4. This means that when x is equal to 31/4, the equation is satisfied.
Community Answer
2(3-2x)=13 Solve the problem and give you he value of x?
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
Explore Courses for Class 7 exam

Top Courses for Class 7

2(3-2x)=13 Solve the problem and give you he value of x?
Question Description
2(3-2x)=13 Solve the problem and give you he value of x? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 2(3-2x)=13 Solve the problem and give you he value of x? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2(3-2x)=13 Solve the problem and give you he value of x?.
Solutions for 2(3-2x)=13 Solve the problem and give you he value of x? in English & in Hindi are available as part of our courses for Class 7. Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of 2(3-2x)=13 Solve the problem and give you he value of x? defined & explained in the simplest way possible. Besides giving the explanation of 2(3-2x)=13 Solve the problem and give you he value of x?, a detailed solution for 2(3-2x)=13 Solve the problem and give you he value of x? has been provided alongside types of 2(3-2x)=13 Solve the problem and give you he value of x? theory, EduRev gives you an ample number of questions to practice 2(3-2x)=13 Solve the problem and give you he value of x? tests, examples and also practice Class 7 tests.
Explore Courses for Class 7 exam

Top Courses for Class 7

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev