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

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Solution for -6+(1-4x)-(1-x)=3x-2(x-3) equation:


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

Remove parenthesis around (1 + -4x)
-6 + 1 + -4x + -1(1 + -1x) = 3x + -2(x + -3)
-6 + 1 + -4x + (1 * -1 + -1x * -1) = 3x + -2(x + -3)
-6 + 1 + -4x + (-1 + 1x) = 3x + -2(x + -3)

Reorder the terms:
-6 + 1 + -1 + -4x + 1x = 3x + -2(x + -3)

Combine like terms: -6 + 1 = -5
-5 + -1 + -4x + 1x = 3x + -2(x + -3)

Combine like terms: -5 + -1 = -6
-6 + -4x + 1x = 3x + -2(x + -3)

Combine like terms: -4x + 1x = -3x
-6 + -3x = 3x + -2(x + -3)

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

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

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

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

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + -3x + -1x = 6 + 1x + -1x

Combine like terms: -3x + -1x = -4x
-6 + -4x = 6 + 1x + -1x

Combine like terms: 1x + -1x = 0
-6 + -4x = 6 + 0
-6 + -4x = 6

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

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

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

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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