n) x + 2x + 3 - 5x = 4x - 9
2) 5x + 6x - 16 = 3x + 2x - 4
p) 5x + 4 = 3x - 2x + 4

Q: n) x + 2x + 3 - 5x = 4x - 9 2) 5x + 6x - 16 = 3x + 2x - 4 p) 5x + 4 = 3x - 2x + 4

Let's solve each equation step by step. ### a) $ x + 2x + 3 - 5x = 4x - 9 $ 1. Combine like terms on the left side: \[ (x + 2x - 5x) + 3 = -2x + 3 \] 2. The equation becomes: \[ -2x + 3 = 4x - 9 \] 3. Add $2x$ to both sides: \[ 3 = 6x - 9 \] 4. Add 9 to both sides: \[ 12 = 6x \] 5. Divide by 6: \[ x = 2 \] ### b) $ 5x + 6x - 16 = 3x + 2x - 4 $ 1. Combine like terms on both sides: \[ 11x - 16 = 5x - 4 \] 2. Subtract $5x$ from both sides: \[ 6x - 16 = -4 \] 3. Add 16 to both sides: \[ 6x = 12 \] 4. Divide by 6: \[ x = 2 \] ### c) $ 5x + 4 = 3x - 2x + 4 $ 1. Simplify the right side: \[ 5x + 4 = x + 4 \] 2. Subtract $x$ from both sides: \[ 4x + 4 = 4 \] 3. Subtract 4 from both sides: \[ 4x = 0 \] 4. Divide by 4: \[ x = 0 \] Thus, the solutions are: - a) $ x = 2 $ - b) $ x = 2 $ - c) $ x = 0 $

Question

Accepted Answer

Let's solve each equation step by step.

### a) $ x + 2x + 3 - 5x = 4x - 9 $

1. Combine like terms on the left side: 
   $$
   (x + 2x - 5x) + 3 = -2x + 3
   $$
2. The equation becomes:
   $$
   -2x + 3 = 4x - 9
   $$
3. Add $2x$ to both sides:
   $$
   3 = 6x - 9
   $$
4. Add 9 to both sides:
   $$
   12 = 6x
   $$
5. Divide by 6:
   $$
   x = 2
   $$

### b) $ 5x + 6x - 16 = 3x + 2x - 4 $

1. Combine like terms on both sides:
   $$
   11x - 16 = 5x - 4
   $$
2. Subtract $5x$ from both sides:
   $$
   6x - 16 = -4
   $$
3. Add 16 to both sides:
   $$
   6x = 12
   $$
4. Divide by 6:
   $$
   x = 2
   $$

### c) $ 5x + 4 = 3x - 2x + 4 $

1. Simplify the right side:
   $$
   5x + 4 = x + 4
   $$
2. Subtract $x$ from both sides:
   $$
   4x + 4 = 4
   $$
3. Subtract 4 from both sides:
   $$
   4x = 0
   $$
4. Divide by 4:
   $$
   x = 0
   $$

Thus, the solutions are:
- a) $ x = 2 $
- b) $ x = 2 $
- c) $ x = 0 $

n) x + 2x + 3 - 5x = 4x - 9 2) 5x + 6x - 16 = 3x + 2x - 4 p)...

n) x + 2x + 3 - 5x = 4x - 9 2) 5x + 6x - 16 = 3x + 2x - 4 p) 5x + 4 = 3x - 2x + 4

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