([x-4]+15)15=([x+2]+12)12

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Solution for ([x-4]+15)15=([x+2]+12)12 equation: 


Simplifying
([x + -4] + 15) * 15 = ([x + 2] + 12) * 12

Reorder the terms:
([-4 + x] + 15) * 15 = ([x + 2] + 12) * 12

Remove brackets around [-4 + x]
(-4 + x + 15) * 15 = ([x + 2] + 12) * 12

Reorder the terms:
(-4 + 15 + x) * 15 = ([x + 2] + 12) * 12

Combine like terms: -4 + 15 = 11
(11 + x) * 15 = ([x + 2] + 12) * 12

Reorder the terms for easier multiplication:
15(11 + x) = ([x + 2] + 12) * 12
(11 * 15 + x * 15) = ([x + 2] + 12) * 12
(165 + 15x) = ([x + 2] + 12) * 12

Reorder the terms:
165 + 15x = ([2 + x] + 12) * 12

Remove brackets around [2 + x]
165 + 15x = (2 + x + 12) * 12

Reorder the terms:
165 + 15x = (2 + 12 + x) * 12

Combine like terms: 2 + 12 = 14
165 + 15x = (14 + x) * 12

Reorder the terms for easier multiplication:
165 + 15x = 12(14 + x)
165 + 15x = (14 * 12 + x * 12)
165 + 15x = (168 + 12x)

Solving
165 + 15x = 168 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
165 + 15x + -12x = 168 + 12x + -12x

Combine like terms: 15x + -12x = 3x
165 + 3x = 168 + 12x + -12x

Combine like terms: 12x + -12x = 0
165 + 3x = 168 + 0
165 + 3x = 168

Add '-165' to each side of the equation.
165 + -165 + 3x = 168 + -165

Combine like terms: 165 + -165 = 0
0 + 3x = 168 + -165
3x = 168 + -165

Combine like terms: 168 + -165 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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