Question

3х-4/9 + 5х-7/6 = 4х+5/18

Answer 1

(3х - 4) / 9 + (5х - 7) / 6=(4х + 5) / 18 - умножаем обе части на 18 и переносим влево
6x - 8 + 15x - 21 - 4x - 5 = 0 - приводим подобные и переносим числа без x вправо
17x = 34
x = 2

Answer 2

To solve the given equation:

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

Let's simplify the equation step by step:

First, let's find a common denominator for the fractions. The common denominator in this case is 18. So we'll rewrite the equation with the fractions having the common denominator:

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

Simplifying further:

(54x - 8) + (90x - 21) = 72x + 5

Now, combine like terms on both sides of the equation:

54x + 90x - 8 - 21 = 72x + 5

144x - 29 = 72x + 5

Next, let's isolate the variable terms (terms containing x) on one side and the constant terms on the other side:

144x - 72x = 5 + 29

72x = 34

Finally, divide both sides of the equation by 72 to solve for x:

x = 34/72

Simplifying the fraction:

x = 17/36

Therefore, the solution to the given equation is x = 17/36.