What is the solution to the equation `2\left(2x+1\right)\ =\ 3\left(3x+4\right)`?
1 answer
We can begin by simplifying both sides of the equation. Distributing on the left side, we have $2\cdot2x+2\cdot1=4x+2$. On the right side, we have $3\cdot3x+3\cdot4=9x+12$. We now have the equation $4x+2=9x+12$. We can isolate the $x$ term on one side of the equation by subtracting $4x$ from both sides, which gives $2=5x+12$. To further isolate the $x$ term, we subtract 12 from both sides, resulting in $-10=5x$. Finally, we divide both sides by 5 to find that $-2=x$. Therefore, the solution to the equation is $x=\boxed{-2}$.
1 answer