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?
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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