1) 4 - 2x/3 + x/6 = To solve this equation, we first need to find a common denominator for the fractions. The common denominator in this case is 6 Multiplying the entire equation by 6, we get 24 - 4x + x = Combining like terms, we get 24 - 3x = Rearranging the equation, we get 3x = 2 x = 8
Therefore, the solution to the equation 4 - 2x/3 + x/6 = 0 is x = 8.
2) x/6 - 2 = x/4 + To solve this equation, we first need to find a common denominator for the fractions. The common denominator in this case is 12 Multiplying the entire equation by 12, we get 2x - 24 = 3x + 1 Rearranging the equation, we get 2x - 3x = 24 + 1 -x = 3 x = -36
Therefore, the solution to the equation x/6 - 2 = x/4 + 1 is x = -36.
3) x/4 + 2 = x/10 - To solve this equation, we first need to find a common denominator for the fractions. The common denominator in this case is 20 Multiplying the entire equation by 20, we get 5x + 40 = 2x - 2 Rearranging the equation, we get 5x - 2x = -20 - 4 3x = -6 x = -20
Therefore, the solution to the equation x/4 + 2 = x/10 - 1 is x = -20.
I will solve each of these equations one by one:
1) 4 - 2x/3 + x/6 =
To solve this equation, we first need to find a common denominator for the fractions. The common denominator in this case is 6
Multiplying the entire equation by 6, we get
24 - 4x + x =
Combining like terms, we get
24 - 3x =
Rearranging the equation, we get
3x = 2
x = 8
Therefore, the solution to the equation 4 - 2x/3 + x/6 = 0 is x = 8.
2) x/6 - 2 = x/4 +
To solve this equation, we first need to find a common denominator for the fractions. The common denominator in this case is 12
Multiplying the entire equation by 12, we get
2x - 24 = 3x + 1
Rearranging the equation, we get
2x - 3x = 24 + 1
-x = 3
x = -36
Therefore, the solution to the equation x/6 - 2 = x/4 + 1 is x = -36.
3) x/4 + 2 = x/10 -
To solve this equation, we first need to find a common denominator for the fractions. The common denominator in this case is 20
Multiplying the entire equation by 20, we get
5x + 40 = 2x - 2
Rearranging the equation, we get
5x - 2x = -20 - 4
3x = -6
x = -20
Therefore, the solution to the equation x/4 + 2 = x/10 - 1 is x = -20.