Problem Analysis:
Let's assume the number to be "x".

According to the problem statement, 3/4 of the number is greater than 2/3 of the number by 7.
Mathematically, this can be written as:
(3/4)x - (2/3)x = 7

Solution:
To find the value of x, we need to solve the equation (3/4)x - (2/3)x = 7.

Step 1: Multiply both sides of the equation by the least common multiple (LCM) of the denominators (i.e., 4 and 3) to eliminate the fractions.
12 * [(3/4)x - (2/3)x] = 12 * 7

Step 2: Simplify both sides of the equation.
9x - 8x = 84

Step 3: Combine like terms.
x = 84

Therefore, the number is 84.

Explanation of an Equation:
An equation is a mathematical statement that shows the equality of two expressions. It consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equal sign (=). The LHS and RHS can contain variables, constants, and mathematical operations.

Key Points:
- An equation is used to represent a relationship between variables and constants.
- The equal sign (=) indicates that the expressions on both sides of the equation have the same value.
- An equation is solved by finding the value(s) of the variable(s) that satisfy the equation.
- The solution to an equation is the value(s) that make the equation true.
- Equations are used in various fields of mathematics, physics, engineering, and other sciences to model and solve real-world problems.

Example:
Consider the equation: 2x + 5 = 15

- LHS: 2x + 5
- RHS: 15

To find the value of x, we need to isolate the variable on one side of the equation. By performing the necessary operations, we can solve the equation and determine the value of x.

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Problem Analysis:
- Start by analyzing the problem statement and identifying the given information.
- Clearly state the unknown value that needs to be found.

Solution:
- Provide step-by-step instructions to solve the problem.
- Show all the necessary calculations and simplifications.

Explanation of an Equation:
- Define an equation and its components.
- Explain the purpose and use of equations in mathematics and other fields.
- Discuss the process of solving an equation and finding its solutions.

Example:
- Present a sample equation and walk through the steps to solve it.
- Highlight the LHS and RHS of the equation.
- Show the necessary operations and simplifications.

Note:
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Let the number is x. then
According to the question
3x/4=2x/3+7
3x/4 - 2x/3=7
9x-8x/12=7
X/12=7
X = 7×12=84 So your answer is X=84 this is your answer.