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

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


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

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

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

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

Solving
3 + -3x = -3 + -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.
3 + -3x + 4x = -3 + -4x + 4x

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

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

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

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

Combine like terms: -3 + -3 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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