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

Answer 1

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

1. Distribute $\frac{3}{2}$ to the terms inside the parentheses: $$\frac{3}{2}\cdot 4-\frac{3}{2}\cdot 8x=6-12x$$ So, the equation becomes: $$6-12x+5x=1-7x$$

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

3. Since both sides have $-7x$, we can add $7x$ to both sides to eliminate $-7x$: $$6=1$$

4. This is a contradiction (since $6$ does not equal $1$), which indicates that there is no solution to the equation.

Therefore, the conclusion is that the equation has no solution.