Question

Solve the following equation
X/2-1/4[x-1/3]=1/6(X+1)+1/12​

Answer 1

Answer:x=2

Step-by-step explanation:x/2-1/4x+1/12=1/6x+1/6+1/12

X/2-1/4x-1/6x=1/6+1/12-1/12

6x-3x-2x/12=1/6

3x-2x/12=1/6

X/12=1/6

X=1×12/6

X=2

Answer 2

$\frac{x}{2} - \frac{1}{4} (x - \frac{1}{3} ) = \frac{1}{6} (x + 1) + \frac{1}{12} \\ \frac{x}{2} - \frac{x}{4} + \frac{1}{3} = \frac{x}{6} + \frac{1}{6} + \frac{1}{12} \\ \frac{x}{2} - \frac{x}{4} - \frac{x}{6} = - \frac{1}{3} + \frac{1}{6} + \frac{1}{12} \\ \frac{x}{2} ( 1 - \frac{1}{2} - \frac{1}{3} ) = \frac{1}{3} ( - 1 + \frac{1}{2} + \frac{1}{4} ) \\ \frac{x}{2} ( \frac{6 - 3 - 2}{6} ) = \frac{1}{3} ( \frac{ - 8 + 4 + 2}{8} ) \\ \frac{x}{2} ( \frac{1}{6} ) = \frac{1}{3} ( \frac{ - 2}{8} ) \\ \frac{x}{12} = \frac{ - 2}{24} \\ x = \frac{( - 2)(12)}{24} \\ x = \frac{ - 2}{2} \\ x = - 1$