Question

1) 9(x-1)=x+15 2) (11x+14)-(5x-8)=25 3) 12-4(x-3)=39-9x 4) 2(3x+5)-3(4x-1)=11,8

Answer 1

1)
9х-9=х+15
9х-х=15+9
8х=24
х=24÷8
х=3
2)
11х+14-5х+8=25
6х+22=25
6х=25-22
6х=3
х=3÷6
х=1/2=0.5
3)
12-4х+12=39-9х
24-4х=39-9х
-4х+9х=39-24
5х=15
х=15÷5
х=3
4)
6х+10-12х+3=11.8
-6х+13=11.8
-6х=11.8-13
-6х=-1.2
х=-1.2÷(-6)
х=0.2

Answer 2

1) 9x-9=x+15; 8x=24; x=3 2) 11x+14-5x+8=25; 6x=3; x=0,5 3) 12-4x+12=39-9x; 5x=15; x=3 4) 6x+10-12x+3=11,8; -6x=-1,2; x=0,2

Answer 3

Let's solve each of these equations step by step:

1. 9(x-1) = x+15

First, distribute the 9 on the left side of the equation:

9x - 9 = x + 15

Now, let's isolate the x terms on one side of the equation and the constants on the other side:

9x - x = 15 + 9

Combine like terms:

8x = 24

Now, divide both sides by 8 to solve for x:

8x/8 = 24/8

x = 3

So, the solution to this equation is x = 3.

2. (11x+14) - (5x-8) = 25

First, distribute the negative sign on the right side of the equation:

11x + 14 - 5x + 8 = 25

Now, let's combine like terms:

(11x - 5x) + (14 + 8) = 25

6x + 22 = 25

Subtract 22 from both sides:

6x = 25 - 22

6x = 3

Now, divide both sides by 6 to solve for x:

6x/6 = 3/6

x = 1/2

So, the solution to this equation is x = 1/2.

3. 12 - 4(x-3) = 39 - 9x

First, distribute the -4 on the left side and simplify the constants:

12 - 4x + 12 = 39 - 9x

Now, let's combine like terms:

12 + 12 - 4x = 39 - 9x

24 - 4x = 39 - 9x

Add 9x to both sides:

24 + 5x = 39

Subtract 24 from both sides:

5x = 39 - 24

5x = 15

Now, divide both sides by 5 to solve for x:

5x/5 = 15/5

x = 3

So, the solution to this equation is x = 3.

4. 2(3x+5) - 3(4x-1) = 11,8

First, distribute the constants and simplify:

6x + 10 - 12x + 3 = 11,8

Combine like terms:

(6x - 12x) + (10 + 3) = 11,8

-6x + 13 = 11,8

Now, subtract 13 from both sides:

-6x = 11,8 - 13

-6x = -1.2

Divide both sides by -6 to solve for x:

-6x / -6 = -1.2 / -6

x = 0.2

So, the solution to this equation is x = 0.2.