# How do you solve #1/2(3x-8)+4 = 2x-(5x+1)#?

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To solve the equation 1/2(3x-8) + 4 = 2x - (5x + 1), follow these steps:

- Distribute the 1/2 to (3x - 8) to get 3/2x - 4.
- Combine like terms within the parentheses to get 3/2x - 4 + 4 = 2x - (5x + 1).
- Simplify to get 3/2x = 2x - 5x - 1.
- Combine like terms on the right side to get 3/2x = -3x - 1.
- Add 3x to both sides to get (3/2 + 3)x = -1.
- Combine the terms on the left side to get (9/2)x = -1.
- Multiply both sides by 2/9 to isolate x, giving you x = -2/9.

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