223k views
2 votes
Solve for x: 19.2 x-15=7.5x + 8.4

User The Venom
by
8.0k points

1 Answer

3 votes

Answer:

x = 2

Explanation:

1. Combine multiplied terms into a single fraction

19.2 − 15 = 7.5 + 8.4

96/5 − 15 = 7.5x + 8.4

2. Combine multiplied terms into a single fraction again

96/5 − 15 = 7.5x + 8.4

96/5 − 15 = 15x/2 + 8.4

3. Add 15 to both sides of the equation

96/5 − 15 = 15x/2 + 8.4

96/5 − 15 + 15 = 15x/2 + 8.4 + 15

4. Simplify

  • Add the numbers

96/5 = 15x/2 + 8.4 +1.5

  • Add the numbers again

96/5 = 15x/2 + 23.4

5. Multiply all terms by the same value to eliminate fraction denominators

96/5 = 15x/2 + 23.4

2 x 5 x 96/5 = 2 x 5(15x/2 + 23.4)

7. solution

x=2

User Taavo
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories