If "6 - 7x = 22 + x", what will be the value of x?

Given that 6 - 7x = 22 + x

Identify the like terms as follows:

6 and 22 are like terms

-7x and x are like terms

Next step is to collect like terms ie bring like terms together as follows:

6 - 7x = 22 + x

6 - 22 = x + 7x

-16 = 8x

Divide both sides by coefficient of x (ie 8) as follows

-16/8 = 8x/8

-2 = x

Thus, x = -2

Check for correctness

The given equation is 6 - 7x = 22 + x

LHS =   6 - 7x

   =    6 – 7(-2)

=   6 – (7*-2)

=   6 – (-14)

=   6 + 14

=   20

RHS =   22 + x

    =   22 + (-2)

=   22 - 2

   =   20 (Same as LHS)