Question

Уравнение 3х+2 /5 -1 =7+4х /3

Answer 1

Ответ:

-4

Пошаговое объяснение:

3х+2 /5 -1 =7+4х /3

Приведение к общему знаменателю- 15

9х + 6 - 15 = 35 + 20х

9х - 20х = 35- 6+ 15

-11х= 44

х= 44/ -11

х=-4

Answer 2

To solve the equation $\frac{3x+2}{5} - 1 = \frac{7+4x}{3}$, we need to find the value of $x$ that satisfies the equation. Let's go step by step to solve it:

Step 1: Eliminate the fractions by multiplying both sides of the equation by the common denominators, which are 5 and 3:

$3 \times 5 \times \left(\frac{3x+2}{5} - 1\right) = 5 \times 3 \times \left(\frac{7+4x}{3}\right)$

This simplifies to:

$3(3x + 2) - 5(1) = 5(7 + 4x)$

Step 2: Distribute the numbers on both sides of the equation:

$9x + 6 - 5 = 35 + 20x$

Step 3: Combine like terms:

$9x + 1 = 35 + 20x$

Step 4: Get all $x$ terms on one side and constant terms on the other side. Let's subtract $9x$ from both sides to isolate the $x$ terms on the left side:

$9x + 1 - 9x = 35 + 20x - 9x$

The $9x$ terms cancel out:

$1 = 35 + 11x$

Step 5: Now, isolate the $x$ term on one side by subtracting 35 from both sides:

$1 - 35 = 35 + 11x - 35$

Simplify:

$-34 = 11x$

Step 6: Finally, solve for $x$ by dividing both sides by 11:

$x = \frac{-34}{11}$

The value of $x$ that satisfies the equation is approximately:

$x \approx -3.09$ (rounded to two decimal places).

So, the solution to the equation is $x \approx -3.09$.