100÷(19+(15x-84)÷6)=4

To solve this equation, we need to follow the order of operations (also known as PEMDAS or BODMAS):

1. Start by simplifying the expression inside the parentheses: 15x - 84 = 15x - 84

2. Divide 15x - 84 by 6: (15x - 84) ÷ 6 = (15x ÷ 6) - (84 ÷ 6) = (5x - 14)

3. Add 19 to (5x - 14) and divide the result by 100: 19 + (5x - 14) = 5x + 5 100 ÷ (5x + 5) = 4

Now, we can set up the equation:

4 = 100 ÷ (5x + 5)

To isolate the variable, we can multiply both sides by (5x + 5):

4(5x + 5) = 100

20x + 20 = 100

Subtract 20 from both sides:

20x = 80

Divide both sides by 20:

x = 4

Therefore, the solution to the equation is x = 4.