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Hello, I am a little confused on how to do this problem. If anyone can help and explain also that will be awesome.

Hello, I am a little confused on how to do this problem. If anyone can help and explain-example-1
User Necrifede
by
3.4k points

2 Answers

2 votes

Answer:

4(5x-2)= 6(x+8)

20x-8=6x+48

20x-6x=48+8

14x=56


x = (56)/(14)

x=4

Explanation:

hope this helps you!!

XXITSCHOCOLOVERXX

User Amitayh
by
3.5k points
11 votes

Answer:

x = 4

Explanation:


(5x-2)/(6)=(x+8)/(4) < == cross\ multiply\\\\4(5x-2)=6(x+8) < ==distribute\\\\4(5x)+4(-2)=6(x)+6(8)\\\\20x-8=6x+48 < ==subtract\ 6x\ from\ both\ sides\\-6x\ \ \ \ -6x\\\\14x-8=48 < == add\ 8\ to\both\ sides\\\ \ \ +8 \ \ \ \ \ \ \ +8\\\\14x=56 < ==divide\ both\ sides\ by\ 14\\/14 \ \ \ /14\\\\x=4 < ==final\ answer

Check your answer:


(5x-2)/(6)=(x+8)/(4)\\\\(5(4)-2)/(6)=(4+8)/(4)\\\\(20-2)/(6)=(12)/(4)\\\\(18)/(6)=(12)/(4)\\\\3=3

This statement is correct

Hope this helps!

User Satevg
by
4.0k points