Question

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

Answer 1

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