Question
$$3\cdot(2-2x) = -6(x-1)$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} 3\cdot(2-2x) &= -6(x-1)&& \text{simplify left and right hand side} \\[1 em]6-6x &= -(6x-6)&& \\[1 em]-6x+6 &= -6x+6&& \text{move the $ \color{blue}{ -6x } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]-6x+6x &= 6-6&& \text{simplify left and right hand side} \\[1 em]-6x+6x &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$
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