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

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


Simplifying
(3x + -2) + (x + 2) + (-6x + -1) = 0

Reorder the terms:
(-2 + 3x) + (x + 2) + (-6x + -1) = 0

Remove parenthesis around (-2 + 3x)
-2 + 3x + (x + 2) + (-6x + -1) = 0

Reorder the terms:
-2 + 3x + (2 + x) + (-6x + -1) = 0

Remove parenthesis around (2 + x)
-2 + 3x + 2 + x + (-6x + -1) = 0

Reorder the terms:
-2 + 3x + 2 + x + (-1 + -6x) = 0

Remove parenthesis around (-1 + -6x)
-2 + 3x + 2 + x + -1 + -6x = 0

Reorder the terms:
-2 + 2 + -1 + 3x + x + -6x = 0

Combine like terms: -2 + 2 = 0
0 + -1 + 3x + x + -6x = 0
-1 + 3x + x + -6x = 0

Combine like terms: 3x + x = 4x
-1 + 4x + -6x = 0

Combine like terms: 4x + -6x = -2x
-1 + -2x = 0

Solving
-1 + -2x = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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