8(x+7)=7(x-7)
Solve for x:
8 (x+7) = 7 (x-7)
Subtract 7 (x-7) from both sides of 8 (x+7) = 7 (x-7):
8 (x+7)-7 (x-7) = 7 (x-7)-7 (x-7)
7 (x-7)-7 (x-7) = 0:
8 (x+7)-7 (x-7) = 0
8 (x+7) = 8 x+8 7:
8 x+8 7-7 (x-7) = 0
8×7 = 56:
56+8 x-7 (x-7) = 0
-7 (x-7) = -7 (-7)-7 x:
8 x+-7 (-7)-7 x+56 = 0
-7 (-7) = 49:
8 x-7 x+49+56 = 0
Grouping like terms, 8 x-7 x+49+56 = (8 x-7 x)+(56+49):
(8 x-7 x)+(56+49) = 0
8 x-7 x = x:
x+(56+49) = 0
56+49 = 105:
Answer: | x= -105