SOLUTION: Laura is thinking of a number such that the sum of the number and five times two more than the number is 26 more than four times the number. Determine the number Laura is thinking

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Question 988033: Laura is thinking of a number such that the sum of the number and five times two more than the number is 26 more than four times the number. Determine the number Laura is thinking of.
thank you:)
Found 2 solutions by ikleyn, ankor@dixie-net.com:
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let  x  be the unknown number.

Then the equation is

x + 5*(x+2) = 4x + 26.

Solve it:

x + 5x + 10 = 4x + 26.

6x - 4x = 26 - 10,

2x = 16,

x = 16%2F2 = 8.


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Laura is thinking of a number such that the sum of the number and five times two more than the number is 26 more than four times the number.
Determine the number Laura is thinking of.
:
Let n = "the number"
write an equation for exactly what it says
n + 5(n+2) = 4n + 26
n + 5n + 10 = 4n + 26
combine like terms
6n - 4n = 26 - 10
2n = 16
n = 16/2
n = 8 is the number
:
:
Check this in the original statement
8 + 5(8+2) = 4(8) + 26
8 + 5(10) = 32 + 26
8 + 50 = 58