(x+4)-(6x+4)+(3x-6)=

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Solution for (x+4)-(6x+4)+(3x-6)= equation:


Simplifying
(x + 4) + -1(6x + 4) + (3x + -6) = 0

Reorder the terms:
(4 + x) + -1(6x + 4) + (3x + -6) = 0

Remove parenthesis around (4 + x)
4 + x + -1(6x + 4) + (3x + -6) = 0

Reorder the terms:
4 + x + -1(4 + 6x) + (3x + -6) = 0
4 + x + (4 * -1 + 6x * -1) + (3x + -6) = 0
4 + x + (-4 + -6x) + (3x + -6) = 0

Reorder the terms:
4 + x + -4 + -6x + (-6 + 3x) = 0

Remove parenthesis around (-6 + 3x)
4 + x + -4 + -6x + -6 + 3x = 0

Reorder the terms:
4 + -4 + -6 + x + -6x + 3x = 0

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

Combine like terms: x + -6x = -5x
-6 + -5x + 3x = 0

Combine like terms: -5x + 3x = -2x
-6 + -2x = 0

Solving
-6 + -2x = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -2x = 0 + 6

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

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

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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