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

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


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

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

Combine like terms: 4 + -4 = 0
4x + 2(0 + -2x) = 2x + -4
4x + 2(-2x) = 2x + -4

Remove parenthesis around (-2x)
4x + 2 * -2x = 2x + -4

Multiply 2 * -2
4x + -4x = 2x + -4

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

Reorder the terms:
0 = -4 + 2x

Solving
0 = -4 + 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.
0 + -2x = -4 + 2x + -2x
Remove the zero:
-2x = -4 + 2x + -2x

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

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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