How to solve the problem 5*x=2*(x+1) (show all steps)

5*x=2*(x+1)  simplify

5x = 2x + 2   subtract 2x from both sides

3x = 2           divide by 3 on both sides

x = 2/3      (this is the same answer as happy 7's)

$${\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\mathtt{2}}{\mathtt{\,\times\,}}\left({\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}}\right) \Rightarrow {\mathtt{x}} = {\frac{{\mathtt{2}}}{{\mathtt{3}}}} \Rightarrow {\mathtt{x}} = {\mathtt{0.666\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

great answer.

Oh thanks!!!  Team Happy is back!!!  (because I'm happy, clap along if you feel like a room without a roof)