Question

-3×+9=-3(2×+3)+3(×-4)+1

Answer 1

The expression we have is:

`-3x+9=-3(2x+3)+3(x-4)+1`

Step 1. To solve for x, we need to first apply the distributive property on the right-hand side of the equation. The distributive property is to multiply the number outside each pair of parenthesis by the terms inside it. We get the following:

`-3x+9=-3\cdot2x-3\cdot3+3\cdot x+3\cdot(-4)+1`

Solving the multiplications on the right-hand side:

`-3x+9=-6x-9+3x-12+1`

Step 2. Combine the like terms.

We start by combining the terms that contain x:

`-3x+9=-3x-9-12+1`

And then, combine the independent terms:

`-3x+9=-3x+4`

Step 3. Add 3x to both sides of the equation:

`-3x+3x+9=4`

On the left side, we get that -3x+3x cancel each other:

`9=4`

As we can see, this is not true, which means that there is no solution for x.

Answer: There is no solution for x.