6(x-1)=x-21

Solution for 6(x-1)=x-21 equation:

Simplifying
6(x + -1) = x + -21

Reorder the terms:
6(-1 + x) = x + -21
(-1 * 6 + x * 6) = x + -21
(-6 + 6x) = x + -21

Reorder the terms:
-6 + 6x = -21 + x

Solving
-6 + 6x = -21 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 6x + -1x = -21 + x + -1x

Combine like terms: 6x + -1x = 5x
-6 + 5x = -21 + x + -1x

Combine like terms: x + -1x = 0
-6 + 5x = -21 + 0
-6 + 5x = -21

Add '6' to each side of the equation.
-6 + 6 + 5x = -21 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = -21 + 6
5x = -21 + 6

Combine like terms: -21 + 6 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3