6=(2x-1)+(x+2)+(3x+2)+x

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Solution for 6=(2x-1)+(x+2)+(3x+2)+x equation:


Simplifying
6 = (2x + -1) + (x + 2) + (3x + 2) + x

Reorder the terms:
6 = (-1 + 2x) + (x + 2) + (3x + 2) + x

Remove parenthesis around (-1 + 2x)
6 = -1 + 2x + (x + 2) + (3x + 2) + x

Reorder the terms:
6 = -1 + 2x + (2 + x) + (3x + 2) + x

Remove parenthesis around (2 + x)
6 = -1 + 2x + 2 + x + (3x + 2) + x

Reorder the terms:
6 = -1 + 2x + 2 + x + (2 + 3x) + x

Remove parenthesis around (2 + 3x)
6 = -1 + 2x + 2 + x + 2 + 3x + x

Reorder the terms:
6 = -1 + 2 + 2 + 2x + x + 3x + x

Combine like terms: -1 + 2 = 1
6 = 1 + 2 + 2x + x + 3x + x

Combine like terms: 1 + 2 = 3
6 = 3 + 2x + x + 3x + x

Combine like terms: 2x + x = 3x
6 = 3 + 3x + 3x + x

Combine like terms: 3x + 3x = 6x
6 = 3 + 6x + x

Combine like terms: 6x + x = 7x
6 = 3 + 7x

Solving
6 = 3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + -7x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -7x = 3 + 0
6 + -7x = 3

Add '-6' to each side of the equation.
6 + -6 + -7x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 3 + -6
-7x = 3 + -6

Combine like terms: 3 + -6 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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