Find the best solutions to your problems with the help of IDNLearn.com. Get accurate and comprehensive answers from our network of experienced professionals.
Sagot :
Answer:
x=8
Step-by-step explanation:
1
(x+2)=
2
1
(x−4)
Use the distributive property to multiply
5
1
by x+2.
5
1
x+
5
1
×2=
2
1
(x−4)
Multiply
5
1
and 2 to get
5
2
.
5
1
x+
5
2
=
2
1
(x−4)
Use the distributive property to multiply
2
1
by x−4.
5
1
x+
5
2
=
2
1
x+
2
1
(−4)
Multiply
2
1
and −4 to get
2
−4
.
5
1
x+
5
2
=
2
1
x+
2
−4
Divide −4 by 2 to get −2.
5
1
x+
5
2
=
2
1
x−2
Subtract
2
1
x from both sides.
5
1
x+
5
2
−
2
1
x=−2
Combine
5
1
x and −
2
1
x to get −
10
3
x.
−
10
3
x+
5
2
=−2
Subtract
5
2
from both sides.
−
10
3
x=−2−
5
2
Convert −2 to fraction −
5
10
.
−
10
3
x=−
5
10
−
5
2
Since −
5
10
and
5
2
have the same denominator, subtract them by subtracting their numerators.
−
10
3
x=
5
−10−2
Subtract 2 from −10 to get −12.
−
10
3
x=−
5
12
Multiply both sides by −
3
10
, the reciprocal of −
10
3
.
x=−
5
12
(−
3
10
)
Multiply −
5
12
times −
3
10
by multiplying numerator times numerator and denominator times denominator.
x=
5×3
−12(−10)
Do the multiplications in the fraction
5×3
−12(−10)
.
x=
15
120
Divide 120 by 15 to get 8.
x=8
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.