To solve the equation 1/2x + 1/3x = 6, we need to combine the fractions on the left side of the equation.
To do that, we can find a common denominator between 2 and 3, which is 6.
1/2x can be rewritten as 3/6x and 1/3x can be rewritten as 2/6x.
Therefore, the equation becomes:
(3/6x) + (2/6x) = 6
Now, we can add the fractions:
(3/6x) + (2/6x) = (3 + 2)/6x = 5/6x
Therefore, the equation becomes:
5/6x = 6
To solve for x, we can multiply both sides of the equation by 6/5:
(5/6x)(6/5) = 6(6/5)
This simplifies to:
1x = 36/5
Therefore, the solution to the equation is:
x = 36/5
1/2x+1/3x=6
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