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3 years ago

Solve for x: 19.2 x-15=7.5x + 8.4

Mathematics

1 answer:

Deffense [45]3 years ago

7 0

Answer:

x = 2

Step-by-step 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

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