Anthony Tedesco sold his used mountain bike and accessories for $140. If he received 4 times as much money for the bike as he did for the accessories, find how much money he received for the bike. He received $for the bike.

Step-by-step explanation:

Accessories: x

Bike: 4x

Total1: 5x

Total2: 140 dollars.

x + 4x = 140 dollars

5x = 140

x = 28

Accessories: 28

Bike: 112

$112

Step-by-step explanation:

First you must see that there are 2 variables in this problem, the bike and accesories.

If the bike and accesories are equal to $140 then, x+y=140.

If the bike is 4x the amount of the accesories then 4x=y. Substitute y in the first equasion for x+4x=140.

That means 5x=140, and solving for x you get $28. Since the bike was 4x the amount of accesories then 4*28= $112.

To check your work you can solve it again. $28+$112=$140 or 28+4*28=140.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 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.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

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

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .