105=10(x-55)+55

Solution for 105=10(x-55)+55 equation:

Simplifying
105 = 10(x + -55) + 55

Reorder the terms:
105 = 10(-55 + x) + 55
105 = (-55 * 10 + x * 10) + 55
105 = (-550 + 10x) + 55

Reorder the terms:
105 = -550 + 55 + 10x

Combine like terms: -550 + 55 = -495
105 = -495 + 10x

Solving
105 = -495 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
105 + -10x = -495 + 10x + -10x

Combine like terms: 10x + -10x = 0
105 + -10x = -495 + 0
105 + -10x = -495

Add '-105' to each side of the equation.
105 + -105 + -10x = -495 + -105

Combine like terms: 105 + -105 = 0
0 + -10x = -495 + -105
-10x = -495 + -105

Combine like terms: -495 + -105 = -600
-10x = -600

Divide each side by '-10'.
x = 60

Simplifying
x = 60