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12 votes
12 votes
- 4(3/2 * x - 1/2) = - 15

User Nostradamnit
by
3.0k points

2 Answers

8 votes
8 votes

Answer:

2 5/6 OR 3

Explanation:

1. Divide Both sides by four.

2. -15/-4 can be simplified to 15/4 by removing the negative sign from both the numerator and the denominator.

3. Add 1/2 to both sides

4. Least common multiple of 4 and 2 is 4. Convert 15/4 and 1/2 to fractions with the denominator 4.

5. Since 15/4 and 2/4 have the same denominator, add them by adding their numerators.

6. Add 15 and 2 to get 17.

7. Multiply each side by 2/3, the reciprocal of 3/2 (cancel out 3/2 and leave only X)

8. multiply 17/4 by 2/3 by multiplying numerator times numerator and denominator times denominator.

9. By doing the multiplications 17x2/4x3 you should get 34/12

10. Reduce the fraction 34/12 to lowest terms by extracting and cancelling out 2.

11. You should get 17/6.

Final Step: if you are asked for a mixed number, the answer is 2 5/6 OR if asked for a decimal, put 2.833333333 or 3 IF asked to round.

User Egilchri
by
2.7k points
13 votes
13 votes
Step by step process -4(3/2x-1/2)=-15

Answer
X=17/6
User Ruben Martirosyan
by
3.1k points