First, let's simplify the equation by combining like terms:
0.5x - 1/6x = 2 1/2
To combine the terms, we need to find a common denominator for the fractions. The common denominator for 6 and 2 is 6.
0.5x - (1/6)x = 5/2
Now we can combine the terms by multiplying the fractions by 6 to get rid of the denominators:
3x/6 - 1x/6 = 5/2
Now we can simplify the equation:
(3x - 1x)/6 = 5/2
2x/6 = 5/2
Now, multiply both sides by 6 to get rid of the fraction:
2x = 15
Finally, divide by 2 to solve for x:
x = 15/2
Therefore, the solution to the equation is x = 7.5.
First, let's simplify the equation by combining like terms:
0.5x - 1/6x = 2 1/2
To combine the terms, we need to find a common denominator for the fractions. The common denominator for 6 and 2 is 6.
0.5x - (1/6)x = 5/2
Now we can combine the terms by multiplying the fractions by 6 to get rid of the denominators:
3x/6 - 1x/6 = 5/2
Now we can simplify the equation:
(3x - 1x)/6 = 5/2
2x/6 = 5/2
Now, multiply both sides by 6 to get rid of the fraction:
2x = 15
Finally, divide by 2 to solve for x:
x = 15/2
Therefore, the solution to the equation is x = 7.5.