-3x-(10+(x+6))=x+(3x+(8-3x))+2

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Solution for -3x-(10+(x+6))=x+(3x+(8-3x))+2 equation:


Simplifying
-3x + -1(10 + (x + 6)) = x + (3x + (8 + -3x)) + 2

Reorder the terms:
-3x + -1(10 + (6 + x)) = x + (3x + (8 + -3x)) + 2

Remove parenthesis around (6 + x)
-3x + -1(10 + 6 + x) = x + (3x + (8 + -3x)) + 2

Combine like terms: 10 + 6 = 16
-3x + -1(16 + x) = x + (3x + (8 + -3x)) + 2
-3x + (16 * -1 + x * -1) = x + (3x + (8 + -3x)) + 2
-3x + (-16 + -1x) = x + (3x + (8 + -3x)) + 2

Reorder the terms:
-16 + -3x + -1x = x + (3x + (8 + -3x)) + 2

Combine like terms: -3x + -1x = -4x
-16 + -4x = x + (3x + (8 + -3x)) + 2

Remove parenthesis around (8 + -3x)
-16 + -4x = x + (3x + 8 + -3x) + 2

Reorder the terms:
-16 + -4x = x + (8 + 3x + -3x) + 2

Combine like terms: 3x + -3x = 0
-16 + -4x = x + (8 + 0) + 2
-16 + -4x = x + (8) + 2
-16 + -4x = x + 8 + 2

Reorder the terms:
-16 + -4x = 8 + 2 + x

Combine like terms: 8 + 2 = 10
-16 + -4x = 10 + x

Solving
-16 + -4x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-16 + -4x + -1x = 10 + x + -1x

Combine like terms: -4x + -1x = -5x
-16 + -5x = 10 + x + -1x

Combine like terms: x + -1x = 0
-16 + -5x = 10 + 0
-16 + -5x = 10

Add '16' to each side of the equation.
-16 + 16 + -5x = 10 + 16

Combine like terms: -16 + 16 = 0
0 + -5x = 10 + 16
-5x = 10 + 16

Combine like terms: 10 + 16 = 26
-5x = 26

Divide each side by '-5'.
x = -5.2

Simplifying
x = -5.2

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