To solve this equation, we first need to combine like terms on both sides of the equation.
1/12 + 1/4 - 1/3x + 1/3 = 1/2 + 1/2x
To combine the fractions on the left side of the equation, we first find a common denominator. The least common multiple of 12, 4, and 3 is 12, so we rewrite the fractions with a denominator of 12:
1/12 + 3/12 - 4/12x + 4/12 = 6/12 + 6/12x
Now we can combine the fractions on the left side:
4/12 - 4/12x = 6/12 + 6/12x
Simplifying further:
-4/12x - 6/12x = 6/12 - 4/12
-10/12x = 2/12
Dividing by -10/12 on both sides to isolate x:
x = (2/12) / (-10/12) x = 2/12 * -12/10 x = -24/120 x = -1/5
Therefore, the solution to the equation is x = -1/5.
To solve this equation, we first need to combine like terms on both sides of the equation.
1/12 + 1/4 - 1/3x + 1/3 = 1/2 + 1/2x
To combine the fractions on the left side of the equation, we first find a common denominator. The least common multiple of 12, 4, and 3 is 12, so we rewrite the fractions with a denominator of 12:
1/12 + 3/12 - 4/12x + 4/12 = 6/12 + 6/12x
Now we can combine the fractions on the left side:
4/12 - 4/12x = 6/12 + 6/12x
Simplifying further:
-4/12x - 6/12x = 6/12 - 4/12
-10/12x = 2/12
Dividing by -10/12 on both sides to isolate x:
x = (2/12) / (-10/12)
x = 2/12 * -12/10
x = -24/120
x = -1/5
Therefore, the solution to the equation is x = -1/5.