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

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


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

Reorder the terms:
-1x + -2(-6 + 2x) = 3(x + -1)
-1x + (-6 * -2 + 2x * -2) = 3(x + -1)
-1x + (12 + -4x) = 3(x + -1)

Reorder the terms:
12 + -1x + -4x = 3(x + -1)

Combine like terms: -1x + -4x = -5x
12 + -5x = 3(x + -1)

Reorder the terms:
12 + -5x = 3(-1 + x)
12 + -5x = (-1 * 3 + x * 3)
12 + -5x = (-3 + 3x)

Solving
12 + -5x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + -5x + -3x = -3 + 3x + -3x

Combine like terms: -5x + -3x = -8x
12 + -8x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -8x = -3 + 0
12 + -8x = -3

Add '-12' to each side of the equation.
12 + -12 + -8x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = -3 + -12
-8x = -3 + -12

Combine like terms: -3 + -12 = -15
-8x = -15

Divide each side by '-8'.
x = 1.875

Simplifying
x = 1.875

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