-3/5x-7/20x+1/4x=-90

Answer:x=−

3150

899

​

≈−0.285396825

Step-by-step explanation:

315x−

20

7

​

+

4

1

​

=−90

Least common multiple of 20 and 4 is 20. Convert −

20

7

​

and

4

1

​

to fractions with denominator 20.

315x−

20

7

​

+

20

5

​

=−90

Since −

20

7

​

and

20

5

​

have the same denominator, add them by adding their numerators.

315x+

20

−7+5

​

=−90

Add −7 and 5 to get −2.

315x+

20

−2

​

=−90

Reduce the fraction

20

−2

​

to lowest terms by extracting and canceling out 2.

315x−

10

1

​

=−90

Add

10

1

​

to both sides.

315x=−90+

10

1

​

Convert −90 to fraction −

10

900

​

.

315x=−

10

900

​

+

10

1

​

Since −

10

900

​

and

10

1

​

have the same denominator, add them by adding their numerators.

315x=

10

−900+1

​

Add −900 and 1 to get −899.

315x=−

10

899

​

Divide both sides by 315.

x=

315

−

10

899

​

​

Express

315

−

10

899

​

​

as a single fraction.

x=

10×315

−899

​

Multiply 10 and 315 to get 3150.

x=

3150

−899

​

Fraction

3150

−899

​

can be rewritten as −

3150

899

​

by extracting the negative sign.

x=−

3150

899

​

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