To solve the equation \( \frac{3}{7}x - 4 = -1 \), follow these steps: 1. Add 4 to both sides of the equation: \[ \frac{3}{7}x = -1 + 4 \] \[ \frac{3}{7}x = 3 \] 2. Now, multiply both sides by the reciprocal of \( \frac{3}{7} \), which is \( \frac{7}{3} \): \[ x = 3 \cdot \frac{7}{3} \] 3. The 3s cancel out: \[ x = 7 \] So, the solution is \( x = 7 \).

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

1 answer

To solve the equation \( \frac{3}{7}x - 4 = -1 \), follow these steps:

Add 4 to both sides of the equation:

\[ \frac{3}{7}x = -1 + 4 \] \[ \frac{3}{7}x = 3 \]
Now, multiply both sides by the reciprocal of \( \frac{3}{7} \), which is \( \frac{7}{3} \):

\[ x = 3 \cdot \frac{7}{3} \]
The 3s cancel out:

\[ x = 7 \]

So, the solution is \( x = 7 \).