3-(3x+6)=2x+(4-x)

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Solution for 3-(3x+6)=2x+(4-x) equation:


Simplifying
3 + -1(3x + 6) = 2x + (4 + -1x)

Reorder the terms:
3 + -1(6 + 3x) = 2x + (4 + -1x)
3 + (6 * -1 + 3x * -1) = 2x + (4 + -1x)
3 + (-6 + -3x) = 2x + (4 + -1x)

Combine like terms: 3 + -6 = -3
-3 + -3x = 2x + (4 + -1x)

Remove parenthesis around (4 + -1x)
-3 + -3x = 2x + 4 + -1x

Reorder the terms:
-3 + -3x = 4 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-3 + -3x = 4 + 1x

Solving
-3 + -3x = 4 + 1x

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.
-3 + -3x + -1x = 4 + 1x + -1x

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

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

Add '3' to each side of the equation.
-3 + 3 + -4x = 4 + 3

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

Combine like terms: 4 + 3 = 7
-4x = 7

Divide each side by '-4'.
x = -1.75

Simplifying
x = -1.75

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