To solve the equation \(8 + \frac{2}{7}x = 12\), follow these steps: 1. Subtract 8 from both sides of the equation: \[ \frac{2}{7}x = 12 - 8 \] \[ \frac{2}{7}x = 4 \] 2. Now, multiply both sides by the reciprocal of \(\frac{2}{7}\), which is \(\frac{7}{2}\): \[ x = 4 \times \frac{7}{2} \] \[ x = \frac{28}{2} \] \[ x = 14 \] Therefore, the solution is: \[ x = 14 \]

8 + 2/7x = 12

1 answer

To solve the equation \(8 + \frac{2}{7}x = 12\), follow these steps:

Subtract 8 from both sides of the equation:

\[ \frac{2}{7}x = 12 - 8 \]

\[ \frac{2}{7}x = 4 \]
Now, multiply both sides by the reciprocal of \(\frac{2}{7}\), which is \(\frac{7}{2}\):

\[ x = 4 \times \frac{7}{2} \]

\[ x = \frac{28}{2} \]

\[ x = 14 \]

Therefore, the solution is:

\[ x = 14 \]