SOLUTION: One third of the result of twice a certain number is added to one. The resulting expression is equivalent to one quarter of twice the certain number. Write an equation and solve.

Question 153291: One third of the result of twice a certain number is added to one. The resulting expression is equivalent to one quarter of twice the certain number. Write an equation and solve.
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
Let x be the number.
One third of the result of twice a certain number plus one can be expressed as:

One quarter of twice the certain number can be expressed as:

According to the given information, these two expressions are the same. So we have:

Solving for x, we have

(multiply both sides by 6)

So the number is -6.

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