Solve for x and show all work to receive full credit:
3x + 4( x + 5) = 5(6 - x)

5/6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+4(x+5)=5(6−x)

3x+(4)(x)+(4)(5)=(5)(6)+(5)(−x)(Distribute)

3x+4x+20=30+−5x

(3x+4x)+(20)=−5x+30(Combine Like Terms)

7x+20=−5x+30

7x+20=−5x+30

Step 2: Add 5x to both sides.

7x+20+5x=−5x+30+5x

12x+20=30

Step 3: Subtract 20 from both sides.

12x+20−20=30−20

12x=10

Step 4: Divide both sides by 12.

12x /12 =  10 /12

x=  5/6

(sorry this was long hope this helps)

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

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