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

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


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

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

Combine like terms: 4 + 8 = 12
12 + -4x = 2(x + 3) + 2

Reorder the terms:
12 + -4x = 2(3 + x) + 2
12 + -4x = (3 * 2 + x * 2) + 2
12 + -4x = (6 + 2x) + 2

Reorder the terms:
12 + -4x = 6 + 2 + 2x

Combine like terms: 6 + 2 = 8
12 + -4x = 8 + 2x

Solving
12 + -4x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + -4x + -2x = 8 + 2x + -2x

Combine like terms: -4x + -2x = -6x
12 + -6x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -6x = 8 + 0
12 + -6x = 8

Add '-12' to each side of the equation.
12 + -12 + -6x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = 8 + -12
-6x = 8 + -12

Combine like terms: 8 + -12 = -4
-6x = -4

Divide each side by '-6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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