◀ back to index
Question
$$18x-5 = 3(6x-2)$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 18x-5 &= 3(6x-2)&& \text{simplify right side} \\[1 em]18x-5 &= 18x-6&& \text{move the $ \color{blue}{ 18x } $ to the left side and $ \color{blue}{ -5 }$ to the right} \\[1 em]18x-18x &= -6+5&& \text{simplify left and right hand side} \\[1 em]18x-18x &= -1&& \\[1 em]0 &= -1&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = -1 } $ is FALSE, we conclude that the equation has no solution.
This page was created using
Equations Solver