Answer:
x = -25/3
Explanation:
Start with the given equation: (-3/5)x + 2 = 7.
We must isolate x. Here we have 2 added to (-3/5)x; the inverse operation would be subtraction of 2 from both sides. This results in:
(-3/5)x = 5.
Now, in (-3/5)x, we have division by 5. The inverse of division is multiplication. So, we multiply both sides of (-3/5)x = 5 by 5, obtaining
-3x = 25.
We want x alone. Here x has been mult. by -3. The inverse op. would be division of -3x = 25 by -3.
Performing this division, we get x = -25/3.