Question
$$-2(10p-7) = 14-20p$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} -2(10p-7) &= 14-20p&& \text{simplify left and right hand side} \\[1 em]-(20p-14) &= -20p+14&& \\[1 em]-20p+14 &= -20p+14&& \text{move the $ \color{blue}{ -20p } $ to the left side and $ \color{blue}{ 14 }$ to the right} \\[1 em]-20p+20p &= 14-14&& \text{simplify left and right hand side} \\[1 em]-20p+20p &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$
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