3. What is the solution to the equation 5x + 7 + 2 x = 7(2x + 3) - 63?

x= 7

Step-by-step explanation:

5x+7+2x= 7(2x+3)-63

Distribute into the parenthesis.

5x+7+2x= 14x+21-63

Add common multiples and constants.

(5x+2x)+7= 14x+ (21-63)

7x+7= 14x-42

Move the variable to one side, to do that, subtract 7x to both sides.

7x+7= 14x-42

-7x       -7x

7= 7x-42

Add 42 to both sides.

   7= 7x-42

+42      +42

49= 7x

Now, divide both sides by 7 to isolate the variable.

49= 7x

7      7

x= 7

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).