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

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Solution for (6-3x)-2(1+x)=6x equation:


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

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

Reorder the terms:
6 + -2 + -3x + -2x = 6x

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

Combine like terms: -3x + -2x = -5x
4 + -5x = 6x

Solving
4 + -5x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + -5x + -6x = 6x + -6x

Combine like terms: -5x + -6x = -11x
4 + -11x = 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -11x = 0

Add '-4' to each side of the equation.
4 + -4 + -11x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -11x = 0 + -4
-11x = 0 + -4

Combine like terms: 0 + -4 = -4
-11x = -4

Divide each side by '-11'.
x = 0.3636363636

Simplifying
x = 0.3636363636

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