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Firdavs [7]
3 years ago
11

3-x=5x+21

Mathematics
2 answers:
mars1129 [50]3 years ago
7 0

Answer:

x = - 3

Step-by-step explanation:

3 - x = 5x + 21

- x + 3 = 5x + 21

(- x + 3) + (- 3 - 5x) = (5x + 21) + (- 3 - 5x)

(- x + 3) + (- 5x - 3) = (5x + 21) + (- 5x - 3)

- x + 3 - 5x - 3 = 5x + 21 - 5x - 3

- x - 5x + 3 - 3 = 5x - 5x + 21 - 3

- 6x = 18

x = - 18/6

x = - 3

vlada-n [284]3 years ago
3 0

Answer:

<h3>\boxed{ \sf{ \bold{- 3}}}</h3>

Step-by-step explanation:

\sf{3 - x = 5x + 21}

Move 5x to left hand side and change it's sign

⇒\sf{  - x - 5x  + 3 = 21}

Move 3 to right hand side and change it's sign

⇒\sf{ - x - 5x = 21 - 3}

Collect like terms

⇒\sf{ - 6x = 21 - 3}

Subtract 3 from 21

⇒\sf{ - 6x = 18}

Divide both sides of the equation by -6

⇒\sf{ \frac{ - 6x}{ - 6}  =  \frac{18}{-6}}

Calculate

⇒\sf{x  = -3}

Hope I helped!

Best regards!!

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The Moores family paid $6 more for skate rentals than the Cotters did. Together the two families paid $30 for skate rentals. How
Mademuasel [1]
<span>Moores Family Paid = 6 dollars mores for skate rental than the cotters did.
30 dollars = the total amount they paid for skate rentals.
Let Family Moore have the variable X
Let the Family Cotters have the variable Y
=> x = y + 6
=> y = 30 – 6 / 2
First, let’s solve the Y
=> Y – 30 – 6 / 2
=> Y = 24 / 2
=> y = 12
Now, let’s solve for X
=> X = y + 6
=> x = 12 + 6
=> X = 18

</span>



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