What is the value of x in the equation 6 (х + 1) - 5 х = 8 + 2 (x - 1) ?

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Multiply the first bracket by 6.

Multiply the second bracket by 8

6 (x+1) - 5x = 8+2 (x-1)

6 (x) + 6 (1) - 5x = 8+2 (x) + 2 (-1)

6x+6-5x = 8+2x-2

6x-5x+6 = 8-2+2x

x+6 = 6+2x

Move + 2x to the other side. Sign changes from + 2x to - 2x.

x-2x+6 = 6+2x-2x

-x+6 = 6

Move + 6 to the other side. Sign changes from + 6 to - 6.

-x+6-6 = 6-6

-x=0

Multiply by - 1 for - x and 0

-x (-1) = 0 (-1)

x = 0

Answer: x = 0