Let's solve the equations shown in your image:

Question 1:

Solve $10x + 9 = 4x - 9$.

1. Subtract $4x$ from both sides: $10x - 4x + 9 = -9$ Simplifying: $6x + 9 = -9$

2. Subtract 9 from both sides: $6x = -9 - 9$ Simplifying: $6x = -18$

3. Divide both sides by 6: $x = \frac{-18}{6} = -3$

So, $x = -3$.

Question 2:

Solve $8x - 8 = -4x + 16$.

1. Add $4x$ to both sides: $8x + 4x - 8 = 16$ Simplifying: $12x - 8 = 16$

2. Add 8 to both sides: $12x = 16 + 8$ Simplifying: $12x = 24$

3. Divide both sides by 12: $x = \frac{24}{12} = 2$

So, $x = 2$.

Question 3:

Solve $2(4x - 3) = 12 + 2x$.

1. Distribute the 2 on the