Solve the equation.
-3x +1 + 10x =x+4
x=1/2. x=5/6
x= 12
χ= 18

x=1/2 would be correct

-3x +1 + 10x =x+4

-3x+10x+1= x+4 ( combine like terms)

7x+1= x+4

move x to the other side

sign changes from +x to -x

7x-x+1= x-x+4

6x+1= 4

move +1 to the other side

6x+1-1= 4-1

6x= 3

divide both sides by 6 to get x by itself

6x/6= 3/6

x= 3/6

reduce the fraction by dividing by 3

3/3= 1

3/6= 2

x=1/2

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1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours