Question

7(x - 2) = 2(2x - 4)
​

Answer 1

Answer:

Distribute

7

(

−

2

)

=

2

(

2

−

4

)

{\color{#c92786}{7(x-2)}}=2(2x-4)

7(x−2)=2(2x−4)

7

−

1

4

=

2

(

2

−

4

)

{\color{#c92786}{7x-14}}=2(2x-4)

7x−14=2(2x−4)

2

Distribute

7

−

1

4

=

2

(

2

−

4

)

7x-14={\color{#c92786}{2(2x-4)}}

7x−14=2(2x−4)

7

−

1

4

=

4

−

8

7x-14={\color{#c92786}{4x-8}}

7x−14=4x−8

3

Add

1

4

14

14

to both sides of the equation

7

−

1

4

=

4

−

8

7x-14=4x-8

7x−14=4x−8

7

−

1

4

+

1

4

=

4

−

8

+

1

4

7x-14+{\color{#c92786}{14}}=4x-8+{\color{#c92786}{14}}

7x−14+14=4x−8+14

4

Simplify

Add the numbers

Add the numbers

7

=

4

−

8

+

1

4

Answer 2

${\tt{\green{\underline{\underline{\huge{ANSWER:—}}}}}}$

7(x - 2) = 2(2x - 4)

=> 7x - 14 = 4x - 8

=> 7x - 4x = -8 + 14

=> 3x = 6

=> x = 6/3

=> x = 2 ans.