Question

a) 2/3x=18 b) 3/4x=27 c) (2x-5)-(3x-7)=4 d) 5(x-1,2)-3x=2 e) (2+3x)-(4x-7)=10 f) 2(x-1,5)+x=6

Answer 1

A) x =18 :2/3
x=18 *3/2
x=27

b) x=27 :3/4
x=27 *4/3
x=36

c) 2x -5 -3x +7=4
-x +2=4
-x=4-2
-x=2
x =-2

d) 5x -6 -3x =2
2x =8
x =4

e) 2+3x -4x+7=10
-x+9=10
-x=1
x= -1

f) 2x -3+x =6
3x =9
x =3

Answer 2

a) To solve 2/3x=18, you can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2. This will cancel out the fraction on the left side of the equation, leaving you with:

x = 18 * (3/2) x = 27

Therefore, the solution to the equation 2/3x=18 is x = 27.

b) To solve 3/4x=27, you can multiply both sides of the equation by the reciprocal of 3/4, which is 4/3. This will cancel out the fraction on the left side of the equation, leaving you with:

x = 27 * (4/3) x = 36

Therefore, the solution to the equation 3/4x=27 is x = 36.

c) To solve (2x-5)-(3x-7)=4, you can simplify the left side of the equation by combining like terms:

2x - 5 - 3x + 7 = 4

-x + 2 = 4

Then, you can isolate the variable x by subtracting 2 from both sides of the equation:

-x = 2

Finally, you can solve for x by multiplying both sides of the equation by -1:

x = -2

Therefore, the solution to the equation (2x-5)-(3x-7)=4 is x = -2.

d) To solve 5(x-1.2)-3x=2, you can simplify the left side of the equation by distributing the 5:

5x - 6 - 3x = 2

Then, you can combine like terms:

2x - 6 = 2

Next, you can isolate the variable x by adding 6 to both sides of the equation:

2x = 8

Finally, you can solve for x by dividing both sides of the equation by 2:

x = 4

Therefore, the solution to the equation 5(x-1.2)-3x=2 is x = 4.

e) To solve (2+3x)-(4x-7)=10, you can simplify the left side of the equation by distributing the negative sign:

2 + 3x - 4x + 7 = 10

Then, you can combine like terms:

3x - 4x + 9 = 10

Next, you can isolate the variable x by subtracting 9 from both sides of the equation:

-x = 1

Finally, you can solve for x by multiplying both sides of the equation by -1:

x = -1

Therefore, the solution to the equation (2+3x)-(4x-7)=10 is x = -1.

f) To solve 2(x-1.5)+x=6, you can simplify the left side of the equation by distributing the 2:

2x - 3 + x = 6

Then, you can combine like terms:

3x - 3 = 6

Next, you can isolate the variable x by adding 3 to both sides of the equation:

3x = 9

Finally, you can solve for x by dividing both sides of the equation by 3:

x = 3

Therefore, the solution to the equation 2(x-1.5)+x=6 is x = 3.