|3x+8|=5x-8, solve for x

Greyson Landry
2022-07-26
Answered

|3x+8|=5x-8, solve for x

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akademiks1989rz

Answered 2022-07-27
Author has **16** answers

|3x+8|=5x-8

=>3x+8=5x-8,3x+8=-(5x-8)

=>3x+8=5x-8,3x+8=-5x+8

=>5x-3x=8+8,3x+5x=8-8

=>2x=16,8x=0

=>x=8, x=0

verifying:

for x=8

|(3*8) +8|=(5*8)-8

=>|24+8|=40-8

=>|32|=32 ,true

for x=0

|(3*0) +8|=(5*0)-8

=>|0+8|=0-8

=>|8|=-8 ,false

so the only solution is x=8

=>3x+8=5x-8,3x+8=-(5x-8)

=>3x+8=5x-8,3x+8=-5x+8

=>5x-3x=8+8,3x+5x=8-8

=>2x=16,8x=0

=>x=8, x=0

verifying:

for x=8

|(3*8) +8|=(5*8)-8

=>|24+8|=40-8

=>|32|=32 ,true

for x=0

|(3*0) +8|=(5*0)-8

=>|0+8|=0-8

=>|8|=-8 ,false

so the only solution is x=8

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