Question

3(2х-1.3) /5=4х+2.3/3

Answer 1

Ответ:

Пошаговое объяснение:

3(2х-1.3) /5=4х+2.3/3

3*3(2х-1.3)=5*(4х+2.3)

18х-11.7=20х+11.5

18х-20х=11.5+11.7

-2х=23.2

х=23.2:(-2)

х=-11.6

Answer 2

To solve the equation $\frac{3(2x - 1.3)}{5} = \frac{4x + 2.3}{3}$ for $x$, follow these steps:

Step 1: Clear the fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is $15$ (the product of $5$ and $3$):

$15 \cdot \frac{3(2x - 1.3)}{5} = 15 \cdot \frac{4x + 2.3}{3}$

This simplifies to:

$9(2x - 1.3) = 5(4x + 2.3)$

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

$18x - 11.7 = 20x + 11.5$

Step 3: Move the $x$ terms to one side and the constant terms to the other side:

Subtract $18x$ from both sides:

$-11.7 = 2x + 11.5$

Subtract $11.5$ from both sides:

$-23.2 = 2x$

Step 4: Solve for $x$ by dividing both sides by $2$:

$x = \frac{-23.2}{2}$

$x = -11.6$

So, the solution for the equation is $x = -11.6$.