Question

Given:
(-5x+2)/7 = -4
Prove: x = 6

Answer 1

To solve the equation (-5x+2)/7 = -4, the steps include multiplying by 7, then subtracting 2, and finally dividing by -5, leading to the solution x = 6.

Step-by-step explanation:

To solve the equation (-5x+2)/7 = -4, we need to isolate the variable x. First, we'll multiply both sides of the equation by 7 to get rid of the denominator:

(-5x + 2) / 7 × 7 = -4 × 7
-5x + 2 = -28

Next, we'll subtract 2 from both sides of the equation:

-5x + 2 - 2 = -28 - 2
-5x = -30

Now, to find the value of x, we divide both sides by -5:

-5x / -5 = -30 / -5
x = 6

By following these steps, we have proven that x equals 6, which is what the question sought to prove.