Question

Solve: 4x+17/18 - 13x-2/17x-32 + x/3 = 7x/12 - x+16/36

Answer 1

Answer:

x=

−2142

569

Step-by-step explanation:

Let's solve your equation step-by-step.

4x+

17

18

−13x−

2

17

x−32+

x

3

=

7x

12

−x+

16

36

Step 1: Simplify both sides of the equation.

4x+

17

18

−13x−

2

17

x−32+

x

3

=

7x

12

−x+

16

36

4x+

17

18

+−13x+

−2

17

x+−32+

1

3

x=

7

12

x+−x+

4

9

(4x+−13x+

−2

17

x+

1

3

x)+(

17

18

+−32)=(

7

12

x+−x)+(

4

9

)(Combine Like Terms)

−448

51

x+

−559

18

=

−5

12

x+

4

9

−448

51

x+

−559

18

=

−5

12

x+

4

9

Step 2: Add 5/12x to both sides.

−448

51

x+

−559

18

+

5

12

x=

−5

12

x+

4

9

+

5

12

x

−569

68

x+

−559

18

=

4

9

Step 3: Add 559/18 to both sides.

−569

68

x+

−559

18

+

559

18

=

4

9

+

559

18

−569

68

x=

63

2

Step 4: Multiply both sides by 68/(-569).

(

68

−569

)*(

−569

68

x)=(

68

−569

)*(

63

2

)

x=

−2142

569