Question

1)2х=18-х 2)7х+3=30-2х 3)7-2х=3х-18 4)0,2х+2,7=1,4-1,1х 5)5,4-1,5х=0,3х-3,6 6)3/8х+15=1/5х+10

Answer 1

1) 2x=18-x
2x+x=18
3x=18
x=6
2)7x+3=30-2x
7x+2x=30-3
9x=27
x=3
3)7-2x=3x-18
-2x-3x=-18-7
-5x=-25
x=5

Answer 2

Let's solve the equations one by one:

1. 2x = 18 - x

To solve this equation, we can start by isolating the variable x on one side. We can do this by adding x to both sides of the equation:

2x + x = 18 - x + x 3x = 18

Now, we divide both sides of the equation by 3 to solve for x:

(3x)/3 = 18/3 x = 6

So the solution to the equation is x = 6.

2. 7x + 3 = 30 - 2x

To solve this equation, we'll first combine like terms by adding 2x to both sides:

7x + 2x + 3 = 30 - 2x + 2x 9x + 3 = 30

Next, we'll isolate x by subtracting 3 from both sides:

9x + 3 - 3 = 30 - 3 9x = 27

Now, we'll divide both sides of the equation by 9 to solve for x:

(9x)/9 = 27/9 x = 3

So the solution to the equation is x = 3.

3. 7 - 2x = 3x - 18

To solve this equation, we'll first combine like terms by adding 2x to both sides and subtracting 7 from both sides:

7 - 2x + 2x = 3x - 18 + 2x 7 = 5x - 18

Next, we'll isolate x by adding 18 to both sides:

7 + 18 = 5x - 18 + 18 25 = 5x

Now, we'll divide both sides of the equation by 5 to solve for x:

(25)/5 = (5x)/5 5 = x

So the solution to the equation is x = 5.

4. 0.2x + 2.7 = 1.4 - 1.1x

To solve this equation, we'll start by adding 1.1x to both sides and subtracting 2.7 from both sides:

0.2x + 1.1x + 2.7 = 1.4 - 1.1x + 1.1x 1.3x + 2.7 = 1.4

Next, we'll isolate x by subtracting 2.7 from both sides:

1.3x + 2.7 - 2.7 = 1.4 - 2.7 1.3x = -1.3

Now, we'll divide both sides of the equation by 1.3 to solve for x:

(1.3x)/1.3 = (-1.3)/1.3 x = -1

So the solution to the equation is x = -1.

5. 5.4 - 1.5x = 0.3x - 3.6

To solve this equation, we'll start by adding 1.5x to both sides and subtracting 0.3x from both sides:

5.4 - 1.5x + 1.5x = 0.3x - 3.6 + 1.5x 5.4 = 1.8x - 3.6

Next, we'll isolate x by adding 3.6 to both sides:

5.4 + 3.6 = 1.8x - 3.6 + 3.6 9 = 1.8x

Now, we'll divide both sides of the equation by 1.8 to solve for x:

(9)/1.8 = (1.8x)/1.8 5 = x

So the solution to the equation is x = 5.

6. (3/8)x + 15 = (1/5)x + 10

To solve this equation, we'll start by subtracting (1/5)x from both sides and multiplying both sides by 40 to get rid of the fractions:

40[(3/8)x + 15] = 40[(1/5)x + 10] 15x + 600 = 8x + 400

Next, we'll isolate x by subtracting 8x from both sides:

15x - 8x + 600 = 8x - 8x + 400 7x + 600 = 400

Now, we'll subtract 600 from both sides:

7x + 600 - 600 = 400 - 600 7x = -200

Finally, we'll divide both sides of the equation by 7 to solve for x:

(7x)/7 = (-200)/7 x = -200/7

So the solution to the equation is x = -200/7.