Final answer:
To prove that x = 6 from the fraction (-5x + 2)/7, we would need to know what this fraction equals. Without additional information, we cannot solve for x. If the fraction equals 1, solving the equation -5x + 2 = 7 leads to x = -1, not x = 6.
Step-by-step explanation:
The question appears to involve solving a simple algebraic equation to prove that x = 6. When given a fraction such as -5x + 2 over 7, we would typically look for additional information such as an equation that it equals to, in order to solve for x. Assuming that the fraction is equal to 1 (as this is a common case where the value in the numerator is equal to the value in the denominator), we would set up the equation -5x + 2 = 7 and solve for x.
To solve the equation, follow these steps:
Move the constant term from the left side of the equation to the right side by subtracting 2 from both sides: -5x = 7 - 2.
Simplify the right side: -5x = 5.
Divide both sides of the equation by -5 to solve for x: x = 5 / (-5).
Simplify the right side to find the value of x: x = -1.
However, if the fraction -5x + 2 over 7 was supposed to be equal to a different value, we would need that specific value to solve for x. Without additional information, we cannot definitively prove that x = 6.