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25 votes
25 votes
Solve the equation
8x-4=2(4x-4)

User Priscella
by
3.3k points

1 Answer

5 votes
5 votes

Answer:

Distribute

8

4

=

2

(

4

4

)

8x-4={\color{#c92786}{2(4x-4)}}

8x−4=2(4x−4)

8

4

=

8

8

8x-4={\color{#c92786}{8x-8}}

8x−4=8x−8

2

Add

4

4

4

to both sides of the equation

8

4

=

8

8

8x-4=8x-8

8x−4=8x−8

8

4

+

4

=

8

8

+

4

8x-4+{\color{#c92786}{4}}=8x-8+{\color{#c92786}{4}}

8x−4+4=8x−8+4

3

Simplify

Add the numbers

Add the numbers

8

=

8

4

8x=8x-4

8x=8x−4

2 more steps

Result

0

=

4

0=-4

0=−4

The input is a contradiction: it has no solutions

User Constant
by
3.6k points