36=[(3x-1)+(x+2)]*2

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Solution for 36=[(3x-1)+(x+2)]*2 equation:


Simplifying
36 = [(3x + -1) + (x + 2)] * 2

Reorder the terms:
36 = [(-1 + 3x) + (x + 2)] * 2

Remove parenthesis around (-1 + 3x)
36 = [-1 + 3x + (x + 2)] * 2

Reorder the terms:
36 = [-1 + 3x + (2 + x)] * 2

Remove parenthesis around (2 + x)
36 = [-1 + 3x + 2 + x] * 2

Reorder the terms:
36 = [-1 + 2 + 3x + x] * 2

Combine like terms: -1 + 2 = 1
36 = [1 + 3x + x] * 2

Combine like terms: 3x + x = 4x
36 = [1 + 4x] * 2

Reorder the terms for easier multiplication:
36 = 2[1 + 4x]
36 = [1 * 2 + 4x * 2]
36 = [2 + 8x]

Solving
36 = 2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
36 + -8x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
36 + -8x = 2 + 0
36 + -8x = 2

Add '-36' to each side of the equation.
36 + -36 + -8x = 2 + -36

Combine like terms: 36 + -36 = 0
0 + -8x = 2 + -36
-8x = 2 + -36

Combine like terms: 2 + -36 = -34
-8x = -34

Divide each side by '-8'.
x = 4.25

Simplifying
x = 4.25

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