Question
$$3(x+1) = 3x+2$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 3(x+1) &= 3x+2&& \text{simplify left side} \\[1 em]3x+3 &= 3x+2&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]3x-3x &= 2-3&& \text{simplify left and right hand side} \\[1 em]3x-3x &= -1&& \\[1 em]0 &= -1&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = -1 } $ is FALSE, we conclude that the equation has no solution.
This page was created using
Equations Solver