Answer:
[tex] x = 47) 43[/tex]
Step-by-step explanation:
solution : (6x +2-x-3)/16=(3x-1-4x+6)/14
(5x-1)/16=(5-x)/14
14(5x-1)=16(5-x)
70x+16x=80-16x
70x+16x=80+14
86x=94
x=94/86
x=47/43
x=5
Take LCM of the denominator and multiply both sides by 112
7(3x+1)+16(2x-3)=14(x+3)+8(3x-2)
distribute 7,16,14 and 8 through parentheses
21x+7 +3x-48=14x+42+24x-8
Now collect like terms and solve equation
53x+7-48=14x+42+24x-8
53x-41=14x+42+24-8
53x-41=38x+42-8
53x-41=38x+34
Now move variable to left and change its sign
53x-41-38x=34
Move constant to right and change its sign
53x-38x=34+41
Collect the like terms
15x=34+41
Add the numbers
15x=75
Move constant to right side and divide it
x=75/15
Hope it helps u!!
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Answers & Comments
Answer:
[tex] x = 47) 43[/tex]
Step-by-step explanation:
solution : (6x +2-x-3)/16=(3x-1-4x+6)/14
(5x-1)/16=(5-x)/14
14(5x-1)=16(5-x)
70x+16x=80-16x
70x+16x=80+14
86x=94
x=94/86
x=47/43
Answer:
x=5
Step-by-step explanation:
Take LCM of the denominator and multiply both sides by 112
7(3x+1)+16(2x-3)=14(x+3)+8(3x-2)
distribute 7,16,14 and 8 through parentheses
21x+7 +3x-48=14x+42+24x-8
Now collect like terms and solve equation
53x+7-48=14x+42+24x-8
53x-41=14x+42+24-8
53x-41=38x+42-8
53x-41=38x+34
Now move variable to left and change its sign
53x-41-38x=34
Move constant to right and change its sign
53x-38x=34+41
Collect the like terms
15x=34+41
Add the numbers
15x=75
Move constant to right side and divide it
x=75/15
x=5
Hope it helps u!!