Question

Как решить уравнение 100:(19+(15x-84):6)=4

Answer 1

100:(19+(15x-84):6)=4
(19+(15x-84):6)=100:4=25
19+(15x-84):6=25
(15x-84):6=25-19=6
(15x-84):6=6
15x-84=6*6=36
15x-84=36
15x=36+84=120
15x=120
x=120:15
x=8

Answer 2

I can help you solve the equation. Here are the steps:

1. Simplify the expression inside the parentheses by using the order of operations. First, multiply 15 by x and subtract 84. Then, divide the result by 6. You should get:

$$\frac{100}{19+\frac{15x-84}{6}}=4$$

2. Simplify the fraction in the denominator by dividing the numerator and the denominator by 3. You should get:

$$\frac{100}{19+\frac{5x-28}{2}}=4$$

3. Multiply both sides of the equation by the denominator of the left side. This will eliminate the fraction. You should get:

$$100=4\left(19+\frac{5x-28}{2}\right)$$

4. Distribute 4 to the terms inside the parentheses. You should get:

$$100=76+10x-56$$

5. Combine the like terms on the right side by adding 76 and -56. You should get:

$$100=10x+20$$

6. Subtract 20 from both sides of the equation. You should get:

$$80=10x$$

7. Divide both sides of the equation by 10. You should get:

$$8=x$$

8. Check your answer by plugging it back into the original equation. You should get:

$$\frac{100}{19+\frac{15\cdot 8-84}{6}}=4$$

$$\frac{100}{19+\frac{36}{6}}=4$$

$$\frac{100}{25}=4$$

$$4=4$$

This is true, so the answer is correct.

The solution is x=8. You can also use online calculators to check your work or get more explanations. For example, you can try [Symbolab](https://ru.symbolab.com/solver/equation-calculator) or [Mathway](https://www.mathway.com/ru/Algebra).