12)
Solve: 2(4x - 6) = 6x - 4

x=4

Step-by-step explanation:2

(

4

−

6

)

=

6

−

4

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

2(4x−6)=6x−4

Solve

1

Distribute

2

(

4

−

6

)

=

6

−

4

{\color{#c92786}{2(4x-6)}}=6x-4

2(4x−6)=6x−4

8

−

1

2

=

6

−

4

{\color{#c92786}{8x-12}}=6x-4

8x−12=6x−4

2

Add

1

2

12

12

to both sides of the equation

3

Simplify

4

Subtract

6

6x

6x

from both sides of the equation

5

Simplify

6

Divide both sides of the equation by the same term

7

Simplify

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2