SOLUTION: Translate into an equation and solve. "2 more than 6 times a number is 20 more than 3 times the number" Find the number.

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Question 157265: Translate into an equation and solve.
"2 more than 6 times a number is 20 more than 3 times the number"
Find the number.

Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number.
Then
"2 more than 6 times a number" can be expressed as 6x + 2.
"20 more than 3 times the number" can be expressed as 3x + 20.
As the two expressions are equal, we have
6x + 2 = 3x + 20
Solving for x, we have
3x = 18
x = 6
Thus the number is 6.