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

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


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

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

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

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

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

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

Solving
3 + -2x = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + -2x + x = -4 + -1x + x

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

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

Add '-3' to each side of the equation.
3 + -3 + -1x = -4 + -3

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

Combine like terms: -4 + -3 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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