3(2x – 1) = 4x + 9

Question

x = [?]

Answer 1

To solve the equation $3(2x-1)=4x+9$, follow these steps:

1. Distribute the 3 on the left side: $$6x-3=4x+9$$

2. Next, get all the terms involving $x$ on one side of the equation. Subtract $4x$ from both sides: $$6x-4x-3=9$$ This simplifies to: $$2x-3=9$$

3. Now, add 3 to both sides to isolate the $2x$: $$2x=9+3$$ This simplifies to: $$2x=12$$

4. Finally, divide both sides by 2 to solve for $x$: $$x=\frac{12}{2}=6$$

Thus, the solution is: $$x=6$$