Answer combine 1/2 and x.
X/2+2/3=1/6
Subtract 2/3 from both sides of the equation
X/2=1/6-2/3
Simplify the right side of the equation
-2/3 as a fraction with a common denominator, multiply by 2/2
X/2=1/6-2/3 x 2/2
Multiply 3 by 2
X/2 = 1/6 - 2/6 x 2
Combine the numerators over the common denominator
X/2 = 1-2 x2/ 6
Simplify the numerator
Multiply by -2 by 2
X/2 =1-4/6
Subtract 4 from 1
X/2= -3/6
Cancel the common factor of -3 and 6
Factor 3 out of -3
X/2 = 3(-1)/6
Cancel the common factor of 6
X/2 = 3 .-1/3.2
Rewrite the expression
X/2 = -1/2
Move the negative in front of the fraction
X/2= -1/2
Since both sides have the same Denominator the numerators must be equal.
X=-1
