+130511 l 1 - 2x l = 5x + 2
We need to solve these two equations
1 - 2x = 5x + 2 and -( 1 - 2x) = 5x + 2
-1 + 2x = 5x + 2
add 2x to both sides subtract 2x from both sides
1 = 7x + 2 -1 = 3x + 2
subtract 2 from each side
-1 = 7x -3 = 3x
divide both sides by 7 divide both sides by 3
-1/7 = x or -1 = x
Note that the second solution is extraneous [it does not solve the original equation].....so.....
The only solution is x = -1/7
Here's a graph of the solution : https://www.desmos.com/calculator/zxa5f3g7wa
