4x-(9-3x)= 8x-1

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4x-(9-3x)= 8x-1
Distribute
4x-9+3x=8x-1
Combine like terms
7x-9=8x-1
Get the variables (letters) on one side and numbers on the other..
Add 9 to both sides.
7x=8x+8
Subtract 8x from both sides.
-x=8
Divide both sides by -1.
x=-8

4x-(9-3x)= 8x-1

4x - 9 + 3x = 8x - 1
7x -8x = 9 - 1
x = -8

To solve this equation, we need to perform a series of steps to isolate the variable term, x, on one side of the equation. Here's how you can do it:

1. Start by distributing the 4x on the left side of the equation:
4x - (9 - 3x) = 8x - 1
4x - 9 + 3x = 8x - 1

2. Simplify the parentheses by distributing the negative sign:
4x - 9 + 3x = 8x - 1
4x - 9 + 3x = 8x - 1
4x - 9 + 3x = 8x - 1
4x - 9 + 3x = 8x - 1

3. Combine like terms on both sides of the equation:
(4x + 3x) - 9 = 8x - 1
7x - 9 = 8x - 1

4. Now, we need to isolate the variable terms on one side of the equation. Let's move the 8x term to the left side by subtracting 8x from both sides of the equation:
7x - 9 - 8x = 8x - 1 - 8x
-x - 9 = -1

5. Next, let's move the constant term to the right side by adding 9 to both sides of the equation:
-x - 9 + 9 = -1 + 9
-x = 8

6. To isolate the variable x, multiply both sides of the equation by -1 to eliminate the negative sign:
-1 * (-x) = 8 * (-1)
x = -8

Therefore, the solution to the equation 4x - (9 - 3x) = 8x - 1 is x = -8.