SOLUTION: If 8 is added to twice a number and this sum is multiplied by 5 the result is the same as if the number is multiplied by 6 and 12 is added to the product. What is the number?

Question 503156: If 8 is added to twice a number and this sum is multiplied by 5 the result is the same as if the number is multiplied by 6 and 12 is added to the product. What is the number?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
If 8 is added to twice a number and this sum is multiplied by 5 the result is the same as if the number is multiplied by 6 and 12 is added to the product. What is the number?
================================
Let x = the number
Given: 8 added to twice the number -> 8 + 2x
sum multiplied by 5 -> 5(8+2x)
result is the same as if mult. by 6 and 12 added -> 6x + 12
Putting it all together:
5(8+2x) = 6x + 12
Simplify and solve:
40 + 10x = 6x + 12
4x = -28
x = -7
RELATED QUESTIONS
If 8 is added to twice a number and this sum is multiplied by 4, the result is the same... (answered by Cromlix)

if 9 is added to twice a number and this sum is multiplied by 5, the result is the same... (answered by ewatrrr)

If 9 is added to twice a number and this sum is multiplied by 5, the result is the same... (answered by robertb)

if 5 is added to twice a number and this sum is multiplied by 4, the result is the same... (answered by JulietG)

If 9 is added to twice a number and this sum is multiplied by 5, the result is the... (answered by Alan3354)

If 5 is added to twice a number and this sum is multiplied by 3, the result is the same... (answered by CubeyThePenguin)

if 8 is added to twice a number and this sum is multiplied by 4 the result is the same as (answered by nerdybill)

If 7 is added to twice a number and this sum is multiplied by 5, the result is the same... (answered by josgarithmetic)

if 4 is added to twice a number and this sum is multiplied by 2, the result is the same... (answered by ewatrrr)