SOLUTION: what is "x" in this equation?: {{{3(x-5)+7=16}}}

Question 118560: what is "x" in this equation?:
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.
3(x - 5) + 7 = 16
.
to solve, first do the distributed multiplication on the left side by multiplying 3 times
each of the terms inside the parentheses. When you do that multiplication, the equation
becomes:
.
3x - 15 + 7 = 16
.
On the left side combine the -15 and the +7 to get -8 ... making the equation:
.
3x - 8 = 16
.
Get rid of the -8 on the left side by adding 8 to both sides. On the left side the -8 adds to
+8 to cancel out. On the right side the 16 and + 8 adds to 24 and the resulting equation is:
.
3x = 24
.
Solve for x by dividing both sides of this equation by 3 to get:
.
x = 24/3 = 8
.
The answer is x = 8
.
Check by returning to the original equation and replacing x by 8. The original equation is:
.
3(x-5)+7=16
.
Substitute 8 for x and it becomes:
.
3(8 - 5) + 7 = 16
.
Combine the 8 and -5 inside the parentheses to get + 3 and the equation then is:
.
3(+3) + 7 = 16
.
The 3 times +3 equals 9 which makes the equation:
.
9 + 7 = 16
.
And this is obviously true ... 9 plus 7 does equal 16. So our answer of x = 8 checks out
as being correct.
.
Hope this helps you to understand the process of solving this problem and how you can check
the answer to ensure that it is correct.
.

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