[2(6x-3)+2]+(6x-3)+x=123

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Solution for [2(6x-3)+2]+(6x-3)+x=123 equation:


Simplifying
[2(6x + -3) + 2] + (6x + -3) + x = 123

Reorder the terms:
[2(-3 + 6x) + 2] + (6x + -3) + x = 123
[(-3 * 2 + 6x * 2) + 2] + (6x + -3) + x = 123
[(-6 + 12x) + 2] + (6x + -3) + x = 123

Reorder the terms:
[-6 + 2 + 12x] + (6x + -3) + x = 123

Combine like terms: -6 + 2 = -4
[-4 + 12x] + (6x + -3) + x = 123

Remove brackets around [-4 + 12x]
-4 + 12x + (6x + -3) + x = 123

Reorder the terms:
-4 + 12x + (-3 + 6x) + x = 123

Remove parenthesis around (-3 + 6x)
-4 + 12x + -3 + 6x + x = 123

Reorder the terms:
-4 + -3 + 12x + 6x + x = 123

Combine like terms: -4 + -3 = -7
-7 + 12x + 6x + x = 123

Combine like terms: 12x + 6x = 18x
-7 + 18x + x = 123

Combine like terms: 18x + x = 19x
-7 + 19x = 123

Solving
-7 + 19x = 123

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 19x = 123 + 7

Combine like terms: -7 + 7 = 0
0 + 19x = 123 + 7
19x = 123 + 7

Combine like terms: 123 + 7 = 130
19x = 130

Divide each side by '19'.
x = 6.842105263

Simplifying
x = 6.842105263

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