The document shows the step-by-step work of solving the equation -2(4x + 5) +3 = -8. It begins with distributing the -2, combining like terms, and performing inverse operations until arriving at the solution of x = 1/8.

1. -2(4x + 5) +3 = -8

2. -2(4x + 5) +3 = -8
-8x
Distribute -2

3. -2(4x + 5) +3 = -8
-8x – 10
Distribute -2

4. -2(4x + 5) +3 = -8
-8x – 10 + 3 = -8

5. -2(4x + 5) +3 = -8
-8x – 10 + 3 = -8
-8x – 7= -8
Combine Like Terms

6. -2(4x + 5) +3 = -8
-8x – 10 + 3 = -8
-8x – 7= -8
+7 +7
-8x = -1
Do the inverse of -7

7. -2(4x + 5) +3 = -8
-8x – 10 + 3 = -8
-8x – 7= -8
+7 +7
-8x = -1
-8 -8
Do the inverse of multiply -8

8. -2(4x + 5) +3 = -8
-8x – 10 + 3 = -8
-8x – 7= -8
+7 +7
-8x = -1
-8 -8
1
x= 8