7x-27=3x-5+x-1 what does x equal?

Step-by-step explanation:

So we have the equation:

Combine like terms:

Subtract 4x from both sides:

Add 27 to both sides:

Divide both sides by 3:

So, the value of x is 7.

And we're done!

Steps to solve:

7x - 27 = 3x - 5 + x - 1

~Combine like terms

7x - 27 = 4x - 6

~Add 27 to both sides

7x = 4x + 21

~Subtract 4x to both sides

3x = 21

~Divide 3 to both sides

x = 7

Best of Luck!

(1) You would need to print 500 pages

(2) To print 500 pages from home would cost $125

Step-by-step explanation: The cost of printing at home has been given as a fixed cost of 100 plus an additional variable cost of 0.05 per page for ink, that is, Cost = 100 + 0.05p. Also, to print at the office, the cost has been given as 0.25 per page, that is, Cost = 0.25p.

Therefore for the costs to be the same, we need to equate both cost functions (that is, C = C) as follows;

100 + 0.05p = 0.25p

Collect like terms and we now have,

100 = 0.25p - 0.05p

100 = 0.20p

Divide both sides of the equation by 0.2

500 = p

To print 500 pages at home therefore would cost,

C = 100 + 0.05p

C = 100 + 0.05(500)

C = 100 + 25

C = 125

Therefore to print 500 pages from home would cost $125