SOLUTION: I'm having a problem solving the following equation - please help 2/3k

SOLUTION: I'm having a problem solving the following equation - please help 2/3k - (k+1/4) = 1/12(k+4)

Question 101144This question is from textbook
: I'm having a problem solving the following equation - please help
2/3k - (k+1/4) = 1/12(k+4) This question is from textbook

Answer by mizzmake2(3) (Show Source): You can put this solution on YOUR website!
2/3k-(k+1/4)=1/12(k+4)

combine like terms and use the properties to get the variable on one side of the equals sign and the numbers on the other side. Remember to follow the order of operations.

(-1) (k + 1/4) + 2/3 k = 1/12 (k + 4)

multiply -1 times k + 1/4;

(-1) k - 1/4 + 2/3 k = 1/12 (k + 4)

multiply 1/12 times k+4;

(-1) k - 1/4 + 2/3 k = 1/12 k + 1/3

multiply -k to 2k/3;

(-1/3) k - 1/4 = 1/12 k + 1/3

add 1/4 to both sides of the equation;

(-1/3) k = 1/12 k + 7/12

subtract k from both sides of the equation;

(-5/12) k = 7/12

Divide both sides of the equation by -5/12, which is the same as multiplying both sides by the reciprocal of the fraction k = -7/5

So our solution is:

k= -7/5
= -1.4

Good Luck!

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