5x-2/4-1/5(3x- 2-x/6)=12/5
Answers
Answer:
X= 87/134
Step-by-step explanation:
you have to cross multiply
−
5
1
(3x−
6
2−x
)=
5
12
Multiply both sides of the equation by 60, the least common multiple of 4,5,6.
15(5x−2)−12(3x−
6
2−x
)=144
Use the distributive property to multiply 15 by 5x−2.
75x−30−12(3x−
6
2−x
)=144
Divide each term of 2−x by 6 to get
3
1
−
6
1
x.
75x−30−12(3x−(
3
1
−
6
1
x))=144
To find the opposite of
3
1
−
6
1
x, find the opposite of each term.
75x−30−12(3x−
3
1
−(−
6
1
x))=144
The opposite of −
6
1
x is
6
1
x.
75x−30−12(3x−
3
1
+
6
1
x)=144
Combine 3x and
6
1
x to get
6
19
x.
75x−30−12(
6
19
x−
3
1
)=144
Use the distributive property to multiply −12 by
6
19
x−
3
1
.
75x−30−12×(
6
19
)x−12(−
3
1
)=144
Express −12×(
6
19
) as a single fraction.
75x−30+
6
−12×19
x−12(−
3
1
)=144
Multiply −12 and 19 to get −228.
75x−30+
6
−228
x−12(−
3
1
)=144
Divide −228 by 6 to get −38.
75x−30−38x−12(−
3
1
)=144
Express −12(−
3
1
) as a single fraction.
75x−30−38x+
3
−12(−1)
=144
Multiply −12 and −1 to get 12.
75x−30−38x+
3
12
=144
Divide 12 by 3 to get 4.
75x−30−38x+4=144
Combine 75x and −38x to get 37x.
37x−30+4=144
Add −30 and 4 to get −26.
37x−26=144
Add 26 to both sides.
37x=144+26
Add 144 and 26 to get 170.
37x=170
Divide both sides by 37.
x=
37
170