x-3-4(x+1)=5(4-x)-1

Solve the equation:

x - 3 - 4(x + 1) = 5(4 - x) - 1

1. Expand:

• Left: x - 3 - 4x - 4 = -3x - 7
• Right: 20 - 5x - 1 = 19 - 5x

2. Set equal: -3x - 7 = 19 - 5x

3. Bring terms together: Add 5x to both sides: 2x - 7 = 19 Add 7: 2x = 26 Divide by 2: x = 13

Check: 13 - 3 - 4(14) = 10 - 56 = -46; 5(4 - 13) - 1 = -45 - 1 = -46. ✔️

Answer: x = 13