SOLUTION: 6x + 4(3x – 2) = 6x + 2 I am getting x=10 but I was not sure if I did it right.

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Question 106669: 6x + 4(3x – 2) = 6x + 2
I am getting x=10 but I was not sure if I did it right.

Found 2 solutions by rcmcc, Earlsdon:
Answer by rcmcc(152)   (Show Source): You can put this solution on YOUR website!

first thing to do with this question is to simplify brackets by expanding the 4 into them

Now simplify the question

remove the 6 from the right side by subtracting from both sides


now bring the 8 to the other side by adding it

so by dividing 12 from each side
check this answer by substituting it into the first equation


7=7
Then when the equation is verified.

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve for x: If you are not sure that your solution is correct, be sure to substitute your solution back into the original equation to see if the two sides are equal. When you try this with x = 10 you'll find that it does not work!
6x+4(3x-2) = 6x+2 Simplify the left side.
6x+12x-8 = 6x+2 Subtract 6x from both sides.
12x-8 = 2 Add 8 to both sides.
12x = 10 Divide both sides by 12.
x = 10/12 Reduce.
x = 5/6
Check: Substitute x = 5/6 into the original equation:
6(5/6)+4(3(5/6)-2) = 6(5/6)+2 Simplify.
5+4((5/2)-2) = 5+2
5+4(1/2) = 7
5+2 = 7
7 = 7

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