Answer:
The value of [tex]x=11[/tex]
Step-by-step explanation: Simplify the equation [tex](4x+8) + (3x+7) = 92[/tex]
To simplify take the common factors and solve them
So, 4x and 3x, then 8 and 7. [tex]4x + 3x = 7x \\8 + 7 = 15[/tex]
Now put 7x and 15 in the equation. [tex]7x + 15 = 92[/tex]
Now simply this equation. 7x + 15 = 92
- 15 = -15
cross out 7 to get x 7x = 77 divide 77 and 7
7 7
x = 11
To check work just replace the x with eleven to solve the equations and add the result to see if it equals 92
(4(11)+8) + (3(11)+7) = 92
(4 x 11 = 44 +8) = 52 52
+ (3 x 11 = 33 + 7) = 40 + 40
= 92
So that means x is 11
