Question
$$6(4s+12) = 8(3s-14)$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 6(4s+12) &= 8(3s-14)&& \text{simplify left and right hand side} \\[1 em]24s+72 &= 24s-112&& \text{move the $ \color{blue}{ 24s } $ to the left side and $ \color{blue}{ 72 }$ to the right} \\[1 em]24s-24s &= -112-72&& \text{simplify left and right hand side} \\[1 em]24s-24s &= -184&& \\[1 em]0 &= -184&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = -184 } $ is FALSE, we conclude that the equation has no solution.
This page was created using
Equations Solver