Question

(2х+3)/3 - (3х-4)/5 =х/3+ 8/5​

Answer 1

Ответ:

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Пошаговое объяснение:

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Answer 2

To solve the equation (2x + 3)/3 - (3x - 4)/5 = x/3 + 8/5, you can follow these steps:

Step 1: Clear the fractions by finding a common denominator. In this case, the common denominator is 15.

Multiply every term in the equation by 15 to eliminate the fractions:

15[(2x + 3)/3] - 15[(3x - 4)/5] = 15[(x/3) + (8/5)]

Now, simplify each term:

(5 * 2x + 5 * 3) - (3 * 3x - 3 * 4) = (5 * x + 3 * 8)

Step 2: Distribute the constants to the terms within parentheses:

(10x + 15) - (9x - 12) = 5x + 24

Step 3: Remove parentheses by performing the operations:

10x + 15 - 9x + 12 = 5x + 24

Step 4: Combine like terms on both sides of the equation:

(10x - 9x) + (15 + 12) = 5x + 24

x + 27 = 5x + 24

Step 5: Move the 5x term to the left side by subtracting 5x from both sides:

x - 5x + 27 = 24

-4x + 27 = 24

Step 6: Move the constant term (27) to the right side by subtracting 27 from both sides:

-4x + 27 - 27 = 24 - 27

-4x = -3

Step 7: Solve for x by dividing both sides by -4:

(-4x)/-4 = (-3)/-4

x = 3/4

So, the solution to the equation is x = 3/4.