SOLUTION: please help me with this problem ive been working on it for 15 min already the problem is 2(x-4)=22 i have to solve for x i cant get the anwser at all

Question 107163: please help me with this problem
ive been working on it for 15 min already
the problem is
2(x-4)=22
i have to solve for x
i cant get the anwser at all
Found 2 solutions by bucky, scott8148:
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.
2(x-4)=22
.
To solve for x, begin by doing the distributed multiplication on the left side. This
multiplication involves multiplying the 2 times each of the two quantities inside the parentheses.
So multiply 2 times x to get 2x and then multiply 2 times -4 to get -8. When you do that
the problem becomes:
.
2x - 8 = 22
.
Next get rid of the -8 on the left side so that the only term on the left side is 2x. Do that
by adding +8 to both sides. On the left side the -8 and the +8 combine to cancel each other
and on the right side the 22 and the +8 combine to give +30. Therefore, the equation
becomes:
.
2x = +30
.
Now solve for x by dividing both sides of the equation by 2 ... because 2 is the multiplier
of the x term. When you divide both sides by 2 the answer becomes:
.
x = 30/2 = 15
.
So the answer is x = 15
.
Check this answer. Start with the original equation you were given:
.
2(x-4)=22
.
Substitute 15 for x to make the problem become:
.
2(15 - 4) = 22
.
Within the parentheses, 15 - 4 is equal to 11. So this reduces the problem to:
.
2*11 = 22
.
On the left side 2 times 11 is 22 and is equal to the right side. Therefore, when x = 15 the
equation is true ... meaning both sides are equal. And this means our answer is correct.
.
Hope this helps you to understand the problem better.
.

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
dividing by 2 gives x-4=11
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