Question

Решите уравнение: 3x-4:9+5x-7:6=4x+5:18 Желательно с объяснениями (а то не понимаю как такие решать уравнения)

Answer 1

3x + 5x - 4/9 - 7/6 = 4x + 5/18
8x - 29/18 = 4x + 5/18
8x - 4x = 29/18 + 5/18
4x = 34/18
4x = 17/9
x = 17/9 ÷ 4
x = 17/36

Answer 2

Solving the Equation

To solve the given equation 3x-4/9 + 5x-7/6 = 4x+5/18, we'll follow these steps:

1. Find a common denominator for the fractions. 2. Combine like terms on both sides of the equation. 3. Solve for the variable.

Step 1: Find a Common Denominator

The common denominator for the fractions in the equation is 18. We'll rewrite the equation with the common denominator:

18(3x-4)/9 + 18(5x-7)/6 = 18(4x+5)/18

Step 2: Combine Like Terms

After finding the common denominator, we can simplify the equation:

2(3x-4) + 3(5x-7) = 18(4x+5)

Expanding the terms gives us:

6x - 8 + 15x - 21 = 72x + 90

Step 3: Solve for the Variable

Now, we'll combine like terms and solve for x:

21x - 29 = 72x + 90

Subtracting 21x from both sides gives:

-29 = 51x + 90

Subtracting 90 from both sides gives:

-119 = 51x

Finally, dividing by 51 gives us the solution:

x = -119/51

So, the solution to the equation 3x-4/9 + 5x-7/6 = 4x+5/18 is x = -119/51.