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

Solution for 6(x-1)=(2-x)8 equation:

Simplifying
6(x + -1) = (2 + -1x) * 8

Reorder the terms:
6(-1 + x) = (2 + -1x) * 8
(-1 * 6 + x * 6) = (2 + -1x) * 8
(-6 + 6x) = (2 + -1x) * 8

Reorder the terms for easier multiplication:
-6 + 6x = 8(2 + -1x)
-6 + 6x = (2 * 8 + -1x * 8)
-6 + 6x = (16 + -8x)

Solving
-6 + 6x = 16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-6 + 6x + 8x = 16 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-6 + 14x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
-6 + 14x = 16 + 0
-6 + 14x = 16

Add '6' to each side of the equation.
-6 + 6 + 14x = 16 + 6

Combine like terms: -6 + 6 = 0
0 + 14x = 16 + 6
14x = 16 + 6

Combine like terms: 16 + 6 = 22
14x = 22

Divide each side by '14'.
x = 1.571428571

Simplifying
x = 1.571428571