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What is the equation of 1/3 x -6 + 8/12x=12?

2 Answers

2 votes
To solve the equation 1/3 x -6 + 8/12x=12, we first need to simplify it by finding a common denominator for the two fractions on the left-hand side.
The common denominator for 1/3 and 8/12 is 12.
So we can rewrite the equation as:
4/12 x - 6 + 8/12 x = 12
Simplifying the left-hand side, we get:
12/12 x - 6 = 12
Combining like terms, we can simplify further:
x - 6 = 12
Adding 6 to both sides, we get:
x = 18
Therefore, the solution to the equation 1/3 x -6 + 8/12x=12 is x = 18.
answered
User Derick F
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9.0k points
6 votes

Answer: Therefore, the equation of the expression 1/3 x -6 + 8/12x=12 is x = 18.

Step-by-step explanation:

To find the equation of the expression 1/3 x -6 + 8/12x = 12, we need to simplify and solve for x.

First, we can simplify the expression by converting 8/12 to 2/3:

1/3 x - 6 + 2/3 x = 12

Next, we can combine the terms with x:

(1/3 + 2/3) x - 6 = 12

Simplifying further, we can add the fractions:

(3/3) x - 6 = 12

x - 6 = 12

Finally, we can isolate x by adding 6 to both sides:

x = 18

answered
User Fino
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8.3k points

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