Solve.
6 – 7x = 7x – 9x + 11
The value of x is ?

Step-by-step explanation:

Simplifying

6 + -7x = 7x + -9x + 11

Reorder the terms:

6 + -7x = 11 + 7x + -9x

Combine like terms: 7x + -9x = -2x

6 + -7x = 11 + -2x

Solving

6 + -7x = 11 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.

6 + -7x + 2x = 11 + -2x + 2x

Combine like terms: -7x + 2x = -5x

6 + -5x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0

6 + -5x = 11 + 0

6 + -5x = 11

Add '-6' to each side of the equation.

6 + -6 + -5x = 11 + -6

Combine like terms: 6 + -6 = 0

0 + -5x = 11 + -6

-5x = 11 + -6

Combine like terms: 11 + -6 = 5

-5x = 5

Divide each side by '-5'.

x = -1

Simplifying

x = -1

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