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

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Solution for 4-(x-5)+2=6-4(x+1) equation: 


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

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

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

Combine like terms: 4 + 5 = 9
9 + 2 + -1x = 6 + -4(x + 1)

Combine like terms: 9 + 2 = 11
11 + -1x = 6 + -4(x + 1)

Reorder the terms:
11 + -1x = 6 + -4(1 + x)
11 + -1x = 6 + (1 * -4 + x * -4)
11 + -1x = 6 + (-4 + -4x)

Combine like terms: 6 + -4 = 2
11 + -1x = 2 + -4x

Solving
11 + -1x = 2 + -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.
11 + -1x + 4x = 2 + -4x + 4x

Combine like terms: -1x + 4x = 3x
11 + 3x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
11 + 3x = 2 + 0
11 + 3x = 2

Add '-11' to each side of the equation.
11 + -11 + 3x = 2 + -11

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

Combine like terms: 2 + -11 = -9
3x = -9

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

Simplifying
x = -3

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