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

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


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

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

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

Remove parenthesis around (-6 + -1x)
29 + -6x = -6 + -1x

Solving
29 + -6x = -6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
29 + -6x + x = -6 + -1x + x

Combine like terms: -6x + x = -5x
29 + -5x = -6 + -1x + x

Combine like terms: -1x + x = 0
29 + -5x = -6 + 0
29 + -5x = -6

Add '-29' to each side of the equation.
29 + -29 + -5x = -6 + -29

Combine like terms: 29 + -29 = 0
0 + -5x = -6 + -29
-5x = -6 + -29

Combine like terms: -6 + -29 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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