Answer:
1. x=-3
2. m=4
3. -6=b
4. x=3
Step-by-step explanation:
1. 7(3-3x)=84 what is x
- Distribute the 7 using distributive property, which will give you 21-21x=84.
- Add 21 to both sides to aim to isolate the x variable, which will give you -23x=63.
- Divide both sides by the coefficient of x, -23, to finally get x by itself: x=-3
2. -7(-4-3m)=112 what is m
- Distribute the -7 using distributive property, which will give you 28+21m=112. Be wary of negatives.
- Subtract 28 to both sides, which will give you 21m=84.
- Divide both sides by 21 (the coefficient of m) to get m by itself: m=4
3.-182=7(2b-8)+7b what is b
- Distribute the 7 using distributive property, which will give you -182=14b-56+7b
- Add like terms to get -182=21b-56.
- Add both sides by 56, which will get you -126=21b.
- Divide both sides by the coefficient of b, 21, to get b by itself: -6=b
4. -101 = -5(8x-5) -6 what is x
- Distribute the -5 using distributive property, which will give you -101=-40x+25-6. Beware of negatives.
- Add like terms to get -101=-40x+19.
- Subtract both sides by 19 to get -120=-40x.
- Divide both sides by 40 (the coefficient of x) to get 3=x.
Hope this helps!
