To solve this equation, we need to isolate the variable x. To do this, we can start by multiplying both sides of the equation by the reciprocal of -3/5, which is -5/3. This will cancel out the -3/5 on the left side of the equation:
(-5/3)(-3/5)x = (-5/3)(2/5)
The -3/5 on the left side simplifies to -1, and the equation becomes:
(-5/3)(-1)x = (-5/3)(2/5)
x = (-5/3)(2/5)
Multiplying the numerators and denominators together, we get:
x = -10/15
The fraction -10/15 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:
x = (-10/5)/(15/5)
x = -2/3
Therefore, the solution to the equation -3/5x = 2/5 is x = -2/3.
Solve using inverse operations.
-3/5x=2/5
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