Since the user did not select any specific options (ExplainAnswer, TeachTopic, or GeneratePractice are all false), I will provide only the final answers to the problems visible in the image.
Here are the solutions for the 12 equations shown on the worksheet:
1. $-10x - 10 = -150$
Add 10 to both sides: $-10x = -140$
Divide by -10: $x = 14$
2. $-7x + 8 = -13$
Subtract 8 from both sides: $-7x = -21$
Divide by -7: $x = 3$
3. $-7x - 3 = -10$
Add 3 to both sides: $-7x = -7$
Divide by -7: $x = 1$
4. $-9x - 4 = -13$
Add 4 to both sides: $-9x = -9$
Divide by -9: $x = 1$
5. $-6x + 10 = -14$
Subtract 10 from both sides: $-6x = -24$
Divide by -6: $x = 4$
6. $-8x + 10 = -14$
Subtract 10 from both sides: $-8x = -24$
Divide by -8: $x = 3$
7. $-10x - 10 = -150$ *(Note: This appears identical to #1)*
Add 10 to both sides: $-10x = -140$
Divide by -10: $x = 14$
8. $-7x + 8 = -13$ *(Note: This appears identical to #2)*
Subtract 8 from both sides: $-7x = -21$
Divide by -7: $x = 3$
9. $-7x - 3 = -10$ *(Note: This appears identical to #3)*
Add 3 to both sides: $-7x = -7$
Divide by -7: $x = 1$
10. $-9x - 4 = -13$ *(Note: This appears identical to #4)*
Add 4 to both sides: $-9x = -9$
Divide by -9: $x = 1$
11. $-6x + 10 = -14$ *(Note: This appears identical to #5)*
Subtract 10 from both sides: $-6x = -24$
Divide by -6: $x = 4$
12. $-8x + 10 = -14$ *(Note: This appears identical to #6)*
Subtract 10 from both sides: $-8x = -24$
Divide by -8: $x = 3$
Final Answer:
1. x = 14
2. x = 3
3. x = 1
4. x = 1
5. x = 4
6. x = 3
7. x = 14
8. x = 3
9. x = 1
10. x = 1
11. x = 4
12. x = 3
Parent Tip: Review the logic above to help your child master the concept of multi step equations with variables on both sides worksheet.