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

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


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

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

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

Solving
3 + -1x = -2 + 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.
3 + -1x + -6x = -2 + 6x + -6x

Combine like terms: -1x + -6x = -7x
3 + -7x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -7x = -2 + 0
3 + -7x = -2

Add '-3' to each side of the equation.
3 + -3 + -7x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = -2 + -3
-7x = -2 + -3

Combine like terms: -2 + -3 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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