Question

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

Answer 1

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