SOLUTION: 6 is taken from a number x and the answer is doubled. The same result is found if the number x is divided by 2. Find x.

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Question 1057005: 6 is taken from a number x and the answer is doubled. The same result is found if the number x is divided by 2. Find x.
Found 2 solutions by ikleyn, solve_for_x:
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
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6 is taken from a number x and the answer is doubled. The same result is found if the number x is divided by 2. Find x.
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2*(x - 6) = .  ----->

4*(x-6) = x,

4x - 24 = x,

4x - x = 24,

3x = 24,

x = 8.


Answer by solve_for_x(190)   (Show Source): You can put this solution on YOUR website!
"6 taken from a number x and the answer is doubled" leads to the following expression: 2*(x - 6)

"x divided by 2" gives this expression: x/2

Since the two expressions are supposed to be the same number, set them equal to each other:

2*(x - 6) = x/2

Multiplying both sides by 2 eliminates the denominator on the right:

2*2*(x - 6) = x

4(x - 6) = x

Expanding the left side by distributing the 4 gives:

4x - 24 = x

Adding 24 to both sides then gives:

4x = x + 24

Subtracting x from both sides then gives:

4x - x = 24

3x = 24

Finally, dividing both sides by 3 leaves:

x = 8

As a check:

2(x - 6) = 2(8 - 6) = 2(2) = 4

x/2 = 8/2 = 4

Since both expressions give the same result, the answer checks out.
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