2[3(x-1)-5]=26

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Solution for 2[3(x-1)-5]=26 equation:


Simplifying
2[3(x + -1) + -5] = 26

Reorder the terms:
2[3(-1 + x) + -5] = 26
2[(-1 * 3 + x * 3) + -5] = 26
2[(-3 + 3x) + -5] = 26

Reorder the terms:
2[-3 + -5 + 3x] = 26

Combine like terms: -3 + -5 = -8
2[-8 + 3x] = 26
[-8 * 2 + 3x * 2] = 26
[-16 + 6x] = 26

Solving
-16 + 6x = 26

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 6x = 26 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = 26 + 16
6x = 26 + 16

Combine like terms: 26 + 16 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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