x-2(x-6)=2-(4x+5)

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Solution for x-2(x-6)=2-(4x+5) equation:


Simplifying
x + -2(x + -6) = 2 + -1(4x + 5)

Reorder the terms:
x + -2(-6 + x) = 2 + -1(4x + 5)
x + (-6 * -2 + x * -2) = 2 + -1(4x + 5)
x + (12 + -2x) = 2 + -1(4x + 5)

Reorder the terms:
12 + x + -2x = 2 + -1(4x + 5)

Combine like terms: x + -2x = -1x
12 + -1x = 2 + -1(4x + 5)

Reorder the terms:
12 + -1x = 2 + -1(5 + 4x)
12 + -1x = 2 + (5 * -1 + 4x * -1)
12 + -1x = 2 + (-5 + -4x)

Combine like terms: 2 + -5 = -3
12 + -1x = -3 + -4x

Solving
12 + -1x = -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.
12 + -1x + 4x = -3 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
12 + 3x = -3 + 0
12 + 3x = -3

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

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

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

Divide each side by '3'.
x = -5

Simplifying
x = -5

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