Question

1/3(z+4)-6=2/3(5-z)
Find the answer

Answer 1

Explanation:

`(1)/(3) (z + 4) - 6 = (2)/(3) (5 - z) \\ \\ \therefore \: ( (z + 4) - 6 * 3)/(3) = (2(5 - z) )/(3) \\ \\ \therefore \: ( z + 4 -18)/(3) = (10 - 2z )/(3) \\ \\ \therefore \: ( z - 14)/(3) = (10 - 2z)/(3) \\ \\ \therefore \: z - 14 = 10 - 2z \\ \\ \therefore \: z + 2z = 10 + 14\\ \\ \therefore \: 3z =24 \\ \\ \therefore \: z = (24)/(3) \\ \\ \: \: \: \: \: \: \: \: \huge \orange{ \boxed{ \therefore \: z = 8}}`