Today only, an office supply store is selling printers at $51 off the regular
price. At the sale price you can buy 7
printers, plus $59 in ink, for the same
amount of money you would have spent
yesterday for 5 printers. The equation
5p = 7(p-51) + 59 models the situation,
where p represents the regular price of a
printer. What is the value of p, in dollars?

P=149

Step-by-step explanation:

7*-51 = -357

7*p = 7p

5p = 7p-357+59

5p = 7p-298

5p+298=7p

298=2p

P = 149

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.