124k views
2 votes
Solve 3(2x-4)=6(x-2)

User Eebbesen
by
6.4k points

2 Answers

6 votes

Answer:

x can have any value, there are infinite solutions.

Explanation:


3\left(2x-4\right)=6\left(x-2\right)

Expand:


3*2x-3* 4=6x-6* 2


6x-12=6x-12

Add 12 to both sides:


6x-12+12=6x-12+12


6x=6x

Subtract 6x from both sides:


6x-6x=6x-6x


0=0

There are infinite solutions for x, as no matter what the value of x is, it will not affect the end result of
0=0 which is true.

User Darkstar
by
7.0k points
5 votes

Using distributive properties :

3(2x-4) = 6(x-2)

6x-12 = 6x -12

Because they are equal x can be any real number:

(-infinity , infinity)

User Vernon
by
6.6k points
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