Respuesta :

-1/5x - 18 = 2
-x - 18(5) = 2(5)
-x = 10 + 90
-x = 100
x = -100
Combine multiplied terms into a single fraction
1
5


1
8
=
2
1
5
x

18
=
2
51​x−18=2
1

5

1
8
=
2
1
x
5

18
=
2
51x​−18=2
2
Multiply by 1
1

5

1
8
=
2
1
x
5

18
=
2
51x​−18=2

5

1
8
=
2
x
5

18
=
2
5x​−18=2
3
Find common denominator

5

1
8
=
2
x
5

18
=
2
5x​−18=2

5
+
5
(

1
8
)
5
=
2
x
5
+
5
(

18
)
5
=
2
5x​+55(−18)​=2
4
Combine fractions with common denominator

5
+
5
(

1
8
)
5
=
2
x
5
+
5
(

18
)
5
=
2
5x​+55(−18)​=2

+
5
(

1
8
)
5
=
2
x
+
5
(

18
)
5
=
2
5x+5(−18)​=2
5
Multiply the numbers

+
5
(

1
8
)
5
=
2
x
+
5
(

18
)
5
=
2
5x+5(−18)​=2


9
0
5
=
2
x

90
5
=
2
5x−90​=2
6
Multiply all terms by the same value to eliminate fraction denominators


9
0
5
=
2
x

90
5
=
2
5x−90​=2
5



9
0
5
=
5

2
5

x

90
5
=
5

2
5⋅5x−90​=5⋅2
7
Cancel multiplied terms that are in the denominator
5



9
0
5
=
5

2
5

x

90
5
=
5

2
5⋅5x−90​=5⋅2


9
0
=
5

2
x

90
=
5

2
x−90=5⋅2
8
Multiply the numbers


9
0
=
5

2
x

90
=
5

2
x−90=5⋅2


9
0
=
1
0
x

90
=
10
x−90=10
9
Add
9
0
90
90
to both sides of the equation


9
0
=
1
0
x

90
=
10
x−90=10


9
0
+
9
0
=
1
0
+
9
0
x

90
+
90
=
10
+
90
x−90+90=10+90
10
Simplify
Add the numbers
Add the numbers

=
1
0
0
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