Question

what is the solution to the equations 3(x + 2) = 2(x + 5)

Answer 1

First, we apply the distributive property of multiplication:

$\begin{gathered} 3x+3\cdot2=2x+2\cdot5, \\ 3x+6=2x+10. \end{gathered}$

Now, subtracting 2x from the above equation we get:

$\begin{gathered} 3x+6-2x=2x+10-2x, \\ x+6=10. \end{gathered}$

Finally, subtracting 6 from the above equation we get:

$\begin{gathered} x+6-6=10-6, \\ x=4 \end{gathered}$

Answer:

$x=4.$