Question

someone help me solve this 12(2x - 8) = 4(5 - 2x) + 3(7 - 3x) helper will get a medal!

Answer 1

Solve for x:
12 (2 x-8)=3 (7-3 x)+4 (5-2 x)

3 (7-3 x)=21-9 x:
12 (2 x-8)=21-9 x+4 (5-2 x)

4 (5-2 x)=20-8 x:
12 (2 x-8)=-9 x+20-8 x+21

Grouping like terms, -8 x-9 x+20+21=(21+20)+(-9 x-8 x):
12 (2 x-8)=(21+20)+(-9 x-8 x)

-9 x-8 x=-17 x:
12 (2 x-8)=-17 x+(21+20)

21+20=41:
12 (2 x-8)=41-17 x

Expand out terms of the left hand side:
24 x-96=41-17 x

Add 17 x to both sides:
24 x+17 x-96=(17 x-17 x)+41

17 x-17 x=0:
24 x+17 x-96=41

24 x+17 x=41 x:
41 x-96=41

Add 96 to both sides:
41 x+(96-96)=41+96

96-96=0:
41 x=41+96

41+96=137:
41 x=137

Divide both sides of 41 x=137 by 41:
(41 x)/41=137/41

41/41=1:
Answer: |
| x=137/41

Answer 2

thank you!!