Answer:
x = 3/2
Explanation:
Given the expression
9|4/3x-2| + 7 = 7
First note that the value in parenthesis can both be negative and positive;
For the positive value, we have;
9(4/3x-2) + 7 = 7
9(4/3x-2) + 7 - 7 = 7 - 7
9(4/3x-2) = 0
Open the bracket
9(4/3x) - 9(2) = 0
36/3 x - 18 = 0
12x = 18
x = 18/12
x = 3/2
For the negative value;
9(-(4/3x-2)) + 7 = 7
9(-4/3x+2) + 7 - 7 = 7 - 7
9(-4/3x+2) = 0
Open the bracket
9(-4/3x) + 9(2) = 0
-36/3 x + 18 = 0
-12x = -18
x = 18/12
x = 3/2
Hence the value of x is 3/2