I need to know how to solve the problem:3/2x+1/5x=11/6x-2/15
2 answers:
3/2x + 1/5x = 11/6x - 2/15....to get rid of fractions, multiply by common denominator, which is 30.
45x + 6x = 55x - 4
51x = 55x - 4
51x - 55x = -4
-4x = -4
x = -4/-4
x = 1
1. 30 • 3/2x + 30 x 1/5x = 30 • 11/6x - 30 • 2/15
(To simplify, multiply both sides by the least common denominator)
2. 15 • 3x + 6x = 5 • 11x - 2 • 2
(Multiply)
3. 45x + 6x = 55x - 4
(Collect Like Terms)
4. 51x = 55x - 4
(Move variable to the left side and change its sign)
5. -4x = -4
(Divide both sides of the equation by -4)
6. x = 1
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