Answer:
The value of x is 2.5 or 5/2.
Step-by-step explanation:
First, you have to eliminate the inner brackets followed by the outer bracket :
[tex]2[(12 + 2x) + (15 + 2x)] = 74[/tex]
[tex]2[12 + 2x + 15 + 2x] = 74[/tex]
[tex]2[4x + 27] = 74[/tex]
[tex]8x + 54 = 74[/tex]
Next you have to solve it :
[tex]8x + 54 = 74[/tex]
[tex]8x = 74 - 54[/tex]
[tex]8x = 20[/tex]
[tex]x = \frac{20}{8} [/tex]
[tex]x = \frac{5}{2} \: or \: 2.5[/tex]
