Answer:
x is -34/3 and -26/3
Explanation:
Given the expression
3|1/2x+5| + 7 = 5
Removing the modulus sign
3(1/2x+5) + 7 = 5
Subtract 7 from both sides
3(1/2x+5) + 7 - 7= 5 - 7
3(1/2x+5) = -2
Open the bracket
3/2 x + 15 = -2
Subtract 15 from both sides
3/2 x + 15-15 = -2 - 15
3/2 x = -17
3x = -2*17
3x = -34
x = -34/3
Hence the value of x is -34/3
For the negative function:
3(1/2x+5) + 7 = 5
Subtract 7 from both sides
3(-(1/2x+5)) + 7 - 7= 5 - 7
3(-1/2x-5) = -2
Open the bracket
-3/2 x - 15 = -2
Add 15 from both sides
3/2 x + 15-15 = -2 + 15
-3/2 x = 13
-3x = 2 * 13
-3x =26
x = -26/3
Hence the value of x is -26/3