Question
$$10h+5 = 5(2h+1)$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} 10h+5 &= 5(2h+1)&& \text{simplify right side} \\[1 em]10h+5 &= 10h+5&& \text{move the $ \color{blue}{ 10h } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]10h-10h &= 5-5&& \text{simplify left and right hand side} \\[1 em]10h-10h &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$
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