Solve for x.

3/7x−4=−1(1 point)
Responses

x=−7
x equals negative 7

x=−3
x equals negative 3

x=7
x equals 7

x=3
x equals 3

1 answer

To solve for x, we can start by isolating the variable on one side of the equation. We can do this by first adding 4 to both sides of the equation:

3/7x - 4 + 4 = -1 + 4

This simplifies to:

3/7x = 3

To get rid of the fraction, we can multiply both sides of the equation by the reciprocal of 3/7, which is 7/3:

(3/7x) * (7/3) = 3 * (7/3)

On the left side, the 3's cancel out, and on the right side, 3 multiplied by 7 is 21:

x = 21

Therefore, x equals 21.