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

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


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

Reorder the terms:
2(4 + x) + -3(x + -1) = -1(2x + -1) + -1(x + -6)
(4 * 2 + x * 2) + -3(x + -1) = -1(2x + -1) + -1(x + -6)
(8 + 2x) + -3(x + -1) = -1(2x + -1) + -1(x + -6)

Reorder the terms:
8 + 2x + -3(-1 + x) = -1(2x + -1) + -1(x + -6)
8 + 2x + (-1 * -3 + x * -3) = -1(2x + -1) + -1(x + -6)
8 + 2x + (3 + -3x) = -1(2x + -1) + -1(x + -6)

Reorder the terms:
8 + 3 + 2x + -3x = -1(2x + -1) + -1(x + -6)

Combine like terms: 8 + 3 = 11
11 + 2x + -3x = -1(2x + -1) + -1(x + -6)

Combine like terms: 2x + -3x = -1x
11 + -1x = -1(2x + -1) + -1(x + -6)

Reorder the terms:
11 + -1x = -1(-1 + 2x) + -1(x + -6)
11 + -1x = (-1 * -1 + 2x * -1) + -1(x + -6)
11 + -1x = (1 + -2x) + -1(x + -6)

Reorder the terms:
11 + -1x = 1 + -2x + -1(-6 + x)
11 + -1x = 1 + -2x + (-6 * -1 + x * -1)
11 + -1x = 1 + -2x + (6 + -1x)

Reorder the terms:
11 + -1x = 1 + 6 + -2x + -1x

Combine like terms: 1 + 6 = 7
11 + -1x = 7 + -2x + -1x

Combine like terms: -2x + -1x = -3x
11 + -1x = 7 + -3x

Solving
11 + -1x = 7 + -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.
11 + -1x + 3x = 7 + -3x + 3x

Combine like terms: -1x + 3x = 2x
11 + 2x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
11 + 2x = 7 + 0
11 + 2x = 7

Add '-11' to each side of the equation.
11 + -11 + 2x = 7 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 7 + -11
2x = 7 + -11

Combine like terms: 7 + -11 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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