Solve each linear equation for x.
1. 1/3(x + 6) = 12;

2. 12(x + 1/6) = 8;

3. −3(x + 2) = −18;

4. −3(x − 2) = 21;

5. −5(4 − x) = −40;

6. 1/4(6 − x) = 1/4;

Step-by-step explanation:

1/3(x+6)=12

x+6=12/(1/3)

x+6=(12/1)(3/1)

x+6=36/1

x+6=36

x=36-6

x=30

30

12(x+1/6)=8

x+1/6=8/12

x=8/12-1/6

x=8/12-2/12

x=6/12

simplify

x=1/2

1/2

-3(x+2)=-18

x+2=-18/-3

x+2=6

x=6-2

x=4

4

-3(x-2)=21

x-2=21/-3

x-2=-7

x=-7+2

x=-5

-5

-5(4-x)=-40

4-x=-40/-5

4-x=8

x=4-8

x=-4

-4

1/4(6-x)=1/4

6-x=(1/4)/(1/4)

6-x=1

x=6-1

x=5

5

answer: procent 54 wynosi 33,33%

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15