SOLUTION: 2(x-3)+2=-4

Question 94254: 2(x-3)+2=-4

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.
2(x - 3) + 2= -4
.
Do the distributed multiplication first ... that is multiply the 2 times each of the terms
inside the parentheses. This makes the equation become:
.
2x - 6 + 2 = -4
.
Combine the two numbers on the left side ... - 6 and + 2 to get -4
.
This makes the equation become:
.
2x - 4 = -4
.
Now get rid of the -4 on the left side by adding +4 to both sides to get:
.
2x = 0
.
Finally, solve for x by dividing both sides by 2 and the equation becomes:
.
x = 0/2 = 0
.
So the answer to this problem is that x has to equal zero.
.
Let's check this answer by returning to the original given equation and substituting
zero for x to see if the equation is equal on both sides:
.
2(x - 3) + 2= -4
.
Substitute 0 for x and you get:
.
2(0 - 3) + 2 = -4
.
Notice that inside the parentheses 0 - 3 is just - 3. This makes the equation become:
.
2(-3) + 2 = -4
.
Multiply the 2 times the -3 to get -6:
.
-6 + 2 = -4
.
and when you combine the two numbers on the left side, you get:
.
-4 = -4
.
This is true, so the answer of x = 0 is correct.
.
Hope this helps you to understand the problem a little better.

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