Solve the equation below
-1/5x-18=2

-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