5-6(x-4)=-3(x+1)-1

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Solution for 5-6(x-4)=-3(x+1)-1 equation: 


Simplifying
5 + -6(x + -4) = -3(x + 1) + -1

Reorder the terms:
5 + -6(-4 + x) = -3(x + 1) + -1
5 + (-4 * -6 + x * -6) = -3(x + 1) + -1
5 + (24 + -6x) = -3(x + 1) + -1

Combine like terms: 5 + 24 = 29
29 + -6x = -3(x + 1) + -1

Reorder the terms:
29 + -6x = -3(1 + x) + -1
29 + -6x = (1 * -3 + x * -3) + -1
29 + -6x = (-3 + -3x) + -1

Reorder the terms:
29 + -6x = -3 + -1 + -3x

Combine like terms: -3 + -1 = -4
29 + -6x = -4 + -3x

Solving
29 + -6x = -4 + -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.
29 + -6x + 3x = -4 + -3x + 3x

Combine like terms: -6x + 3x = -3x
29 + -3x = -4 + -3x + 3x

Combine like terms: -3x + 3x = 0
29 + -3x = -4 + 0
29 + -3x = -4

Add '-29' to each side of the equation.
29 + -29 + -3x = -4 + -29

Combine like terms: 29 + -29 = 0
0 + -3x = -4 + -29
-3x = -4 + -29

Combine like terms: -4 + -29 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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