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

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


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

Reorder the terms:
4 + -4(-5 + x) = (2 + -1x) + -6
4 + (-5 * -4 + x * -4) = (2 + -1x) + -6
4 + (20 + -4x) = (2 + -1x) + -6

Combine like terms: 4 + 20 = 24
24 + -4x = (2 + -1x) + -6

Remove parenthesis around (2 + -1x)
24 + -4x = 2 + -1x + -6

Reorder the terms:
24 + -4x = 2 + -6 + -1x

Combine like terms: 2 + -6 = -4
24 + -4x = -4 + -1x

Solving
24 + -4x = -4 + -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.
24 + -4x + x = -4 + -1x + x

Combine like terms: -4x + x = -3x
24 + -3x = -4 + -1x + x

Combine like terms: -1x + x = 0
24 + -3x = -4 + 0
24 + -3x = -4

Add '-24' to each side of the equation.
24 + -24 + -3x = -4 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = -4 + -24
-3x = -4 + -24

Combine like terms: -4 + -24 = -28
-3x = -28

Divide each side by '-3'.
x = 9.333333333

Simplifying
x = 9.333333333

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