Question

Solve:
2(3x+2)2=5(3x+2)-3

Answer 1

Are you missing something?

Because
\[2(3x+2)2 = 4(3x+2)\]

Did you mean
\[2(3x+2) ± 2\]

Answer 2

anyway… assuming that is correct, we can multiply through:
\[2(3x+2)2 = 4(3x+2) = 12x + 8\]
and
\[5(3x+2)-3 = 15x + 10 - 3 = 15x + 7\]

so
\[12x + 8 = 15x + 7\]

Subtract 12x from both sides, and 7 from both sides, and we get:

\[1 = 3x\]

So just divide both sides by 3 to get x by itself: \[x = 1/3\]