x=(x-1)(1.075)

Solution for x=(x-1)(1.075) equation:

Simplifying
x = (x + -1)(1.075)

Reorder the terms:
x = (-1 + x)(1.075)

Reorder the terms for easier multiplication:
x = 1.075(-1 + x)
x = (-1 * 1.075 + x * 1.075)
x = (-1.075 + 1.075x)

Solving
x = -1.075 + 1.075x

Solving for variable 'x'.

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

Add '-1.075x' to each side of the equation.
x + -1.075x = -1.075 + 1.075x + -1.075x

Combine like terms: x + -1.075x = -0.075x
-0.075x = -1.075 + 1.075x + -1.075x

Combine like terms: 1.075x + -1.075x = 0.000
-0.075x = -1.075 + 0.000
-0.075x = -1.075

Divide each side by '-0.075'.
x = 14.33333333

Simplifying
x = 14.33333333