Final answer:
The student's query is about verifying if the algebraic equation -2 + 7 = 3x + (-4) is accurate. To check this, simplify and solve for x. The equation simplifies to 5 = 3x - 4, and solving for x gives x = 3, confirming the equation is valid if x equals 3.
Step-by-step explanation:
The question poses a scenario concerning the validation of an algebraic equation -2 + 7 = 3x + (-4). In mathematics, specifically algebra, equations like this one are used to represent relationships between variables.
To verify if the given equation is correct, we perform algebraic manipulation. First, we simplify both sides of the equation:
- On the left side, -2 + 7 simplifies to 5.
- On the right side, 3x + (-4) simplifies to 3x - 4.
We are now left with the equation 5 = 3x - 4. To find the value of x that would make this equation true, we would add 4 to both sides, resulting in 9 = 3x. Dividing both sides by 3 then gives us x = 3. Therefore, if the value of x is 3, the original equation holds true.