6-3x=4[3-x]-6

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Solution for 6-3x=4[3-x]-6 equation:


Simplifying
6 + -3x = 4[3 + -1x] + -6
6 + -3x = [3 * 4 + -1x * 4] + -6
6 + -3x = [12 + -4x] + -6

Reorder the terms:
6 + -3x = 12 + -6 + -4x

Combine like terms: 12 + -6 = 6
6 + -3x = 6 + -4x

Add '-6' to each side of the equation.
6 + -6 + -3x = 6 + -6 + -4x

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

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

Solving
-3x = -4x

Solving for variable 'x'.

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

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

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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