Question
$$5(x-3)-3x = 8x-15-6x$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} 5(x-3)-3x &= 8x-15-6x&& \text{simplify left and right hand side} \\[1 em]5x-15-3x &= 2x-15&& \\[1 em]2x-15 &= 2x-15&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ -15 }$ to the right} \\[1 em]2x-2x &= -15+15&& \text{simplify left and right hand side} \\[1 em]2x-2x &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ 0 = 0 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
This page was created using
Equations Solver