Answer
x = 0.025
Work Step by Step
2.3 +500x =600x -0.2
2.3 +500x -2.3 =600x -0.2-2.3
500x = 600x -2.5
500x -600x = 600x -2.5 -600x
-100x=-2.5
$\frac{-100x}{-100}$=$\frac{-2.5}{-100}$
x=0.025
check
Replace x with 0.025
2.3 +500x =600x -0.2
2.3 +500$\times$0.025 =600$\times$0.025 -0.2
2.3 +12.5=15 -0.2
14.8 = 14.8