what is 3/2 (4-8x) + 5x = 1 - 7x

To solve the equation \( \frac{3}{2} (4 - 8x) + 5x = 1 - 7x \), we can follow these steps:

1. Distribute \( \frac{3}{2} \) in the expression \( \frac{3}{2} (4 - 8x) \):
\[
\frac{3}{2} \cdot 4 - \frac{3}{2} \cdot 8x = 6 - 12x
\]
Therefore, the equation becomes:
\[
6 - 12x + 5x = 1 - 7x
\]

2. Combine like terms on the left side:
\[
6 - 7x = 1 - 7x
\]

3. Add \( 7x \) to both sides:
\[
6 = 1
\]

Since we end up with a false statement (6 does not equal 1), this means that there are no values of \( x \) that satisfy the original equation. Thus, the equation has no solution.