Question

6*(1,5-2,5х)=24,5-3,5*(5+2х)

Answer 1

$6(1.5 - 2.5x) = 24,5 - 3.5(5 + 2x)$
$9 - 15x = 24,5 - 17.5 - 7x$
$- 8x = - 2$
$x = \frac{1}{4}$
Ответ: $\frac{1}{4}$ (в десятичном виде - это 0.25).

Answer 2

Раскрываем скобки:
6*1,5+6*(-2,5х)=24,5-3,5*5+(-3,5)*2х
9-15х=24,5-17,5-7х
Приводим подобные слагаемые:
9-15х=7-7х
Переносим неизвестные значения в  одну сторону, а известные-в другую:
-15х+7х=7-9
-8х=-2
х=-2:(-8)
х=0,25

Answer 3

To solve the equation, we need to find the value of variable 'x'. Let's proceed step by step to solve it:

Step 1: Simplify the expressions on both sides of the equation.

On the left side of the equation: 6 * (1.5 - 2.5x) = 6 * (1.5) - 6 * (2.5x) = 9 - 15x

On the right side of the equation: 24.5 - 3.5 * (5 + 2x) = 24.5 - 17.5 - 7x = 7 - 7x

So, the equation becomes: 9 - 15x = 7 - 7x

Step 2: Isolate the 'x' terms on one side of the equation.

To do this, let's move all the 'x' terms to the left side and the constants to the right side:

9 - 7 = -7x + 15x

Step 3: Combine the 'x' terms on the left side:

2 = 8x

Step 4: Isolate 'x' by dividing both sides by 8:

x = 2/8

Step 5: Simplify the fraction:

x = 1/4

So, the solution to the equation is:

x = 1/4