Question

4(0.6х-0.3)-(9-2х)=2(12-х)-(х-10)

Answer 1

4(0,6х-0,3)-(9-2х)=2(12-х)-(х-10)


2,4х - 1,2 - 9+2х=24 - 2х-х+10

4,4х-10,2= 34 - 3х

4,4х+3х= 34+10,2

7,4х= 44,2

х= 44,2:7,4= 442:74

$x = 5 \frac{72}{74}$

Answer 2

Let's solve the equation step by step:

4(0.6x - 0.3) - (9 - 2x) = 2(12 - x) - (x - 10)

First, let's simplify the expressions within the parentheses:

0.6x - 0.3 is equal to 0.6x - 0.3 9 - 2x is equal to 9 - 2x 12 - x is equal to 12 - x x - 10 is equal to x - 10

Now, let's substitute these simplified expressions back into the equation:

4(0.6x - 0.3) - (9 - 2x) = 2(12 - x) - (x - 10)

4(0.6x) - 4(0.3) - 9 + 2x = 2(12) - 2(x) - x + 10

2.4x - 1.2 - 9 + 2x = 24 - 2x - x + 10

Combine like terms:

4.4x - 10.2 = 24 - 3x + 10

Simplify further:

4.4x - 10.2 = 34 - 3x

Now, let's isolate the variable terms on one side and the constant terms on the other side:

4.4x + 3x = 34 + 10.2

7.4x = 44.2

Divide both sides by 7.4 to solve for x:

x = 44.2 / 7.4

x ≈ 5.973

Therefore, the solution to the equation is x ≈ 5.973.