Let's first simplify the equation:
1/3(6x - 1) - (0.5 - x/2) = 0
Distribute the 1/3 and distribute the negative sign before the parenthesis:
2x - 1/3 - 0.5 + x/2 = 0
Combine like terms:
2x + x/2 - 1/3 - 0.5 = 0
To combine x and x/2, we first get a common denominator:
2x + x/2 = 4x/2 + x/2 = (4x + x)/2 = 5x/2
Now we can rewrite the equation:
5x/2 - 1/3 - 0.5 = 0
To get rid of the fractions, let's multiply the entire equation by 6 to clear the denominators:
6(5x/2) - 6(1/3) - 6(0.5) = 60
15x - 2 - 3 = 0
15x - 5 = 0
15x = 5
x = 5/15
x = 1/3
Therefore, the solution to the equation is x = 1/3.
Let's first simplify the equation:
1/3(6x - 1) - (0.5 - x/2) = 0
Distribute the 1/3 and distribute the negative sign before the parenthesis:
2x - 1/3 - 0.5 + x/2 = 0
Combine like terms:
2x + x/2 - 1/3 - 0.5 = 0
To combine x and x/2, we first get a common denominator:
2x + x/2 = 4x/2 + x/2 = (4x + x)/2 = 5x/2
Now we can rewrite the equation:
5x/2 - 1/3 - 0.5 = 0
To get rid of the fractions, let's multiply the entire equation by 6 to clear the denominators:
6(5x/2) - 6(1/3) - 6(0.5) = 60
15x - 2 - 3 = 0
15x - 5 = 0
15x = 5
x = 5/15
x = 1/3
Therefore, the solution to the equation is x = 1/3.