3−5/3x=18

1 answer

To solve the equation 3 - (5/3)x = 18, you can follow these steps:

1. Begin by isolating the variable term, in this case, (5/3)x. To do this, subtract 3 from both sides of the equation:
3 - (5/3)x - 3 = 18 - 3
- (5/3)x = 15

2. Next, get rid of the fraction by multiplying both sides of the equation by the reciprocal of (5/3), which is 3/5:
(-5/3)x * (3/5) = 15 * (3/5)
- (15/5)x = 9

3. Simplify the expression:
- 3x/5 = 9

4. To eliminate the fraction, multiply both sides of the equation by the reciprocal of 3/5, which is 5/3:
(-3x/5) * (5/3) = 9 * (5/3)
-3x = 45/3
-3x = 15

5. Divide both sides of the equation by -3 to solve for x:
(-3x)/(-3) = 15/(-3)
x = -5

Therefore, the solution to the equation 3 - (5/3)x = 18 is x = -5.