4/9(4×-1)-2/3(2x-1+x/3)=1/9(2x+8)
Answers
Answer:
-3
Step-by-step explanation:
4÷9(4×−1)−2÷3(2×−1+x÷3)=1÷9(2x+8)
Multiply both sides of the equation by 9, the least common multiple of 9,3.
4×4(−1)−6(2(−1)+
3
x
)=1(2x+8)
Multiply 4 and 4 to get 16.
16(−1)−6(2(−1)+
3
x
)=1(2x+8)
Multiply 16 and −1 to get −16.
−16−6(2(−1)+
3
x
)=1(2x+8)
Multiply 2 and −1 to get −2.
−16−6(−2+
3
x
)=1(2x+8)
Use the distributive property to multiply 1 by 2x+8.
−16−6(−2+
3
x
)=2x+8
Subtract 2x from both sides.
−16−6(−2+
3
x
)−2x=8
Multiply both sides of the equation by 3.
3(−16−6(−2+
3
x
))−6x=24
Multiply both sides of the equation by 3.
9(−16−6(−2+
3
x
))−18x=72
Use the distributive property to multiply −6 by −2+
3
x
.
9(−16+12−6×(
3
x
))−18x=72
Cancel out 3, the greatest common factor in 6 and 3.
9(−16+12−2x)−18x=72
Add −16 and 12 to get −4.
9(−4−2x)−18x=72
Use the distributive property to multiply 9 by −4−2x.
−36−18x−18x=72
Combine −18x and −18x to get −36x.
−36−36x=72
Add 36 to both sides.
−36x=72+36
Add 72 and 36 to get 108.
−36x=108
Divide both sides by −36.
x=
−36
108
Divide 108 by −36 to get −3.
x=−3