2[x-(4x+6)+4]=2x+4

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Solution for 2[x-(4x+6)+4]=2x+4 equation:


Simplifying
2[x + -1(4x + 6) + 4] = 2x + 4

Reorder the terms:
2[x + -1(6 + 4x) + 4] = 2x + 4
2[x + (6 * -1 + 4x * -1) + 4] = 2x + 4
2[x + (-6 + -4x) + 4] = 2x + 4

Reorder the terms:
2[-6 + 4 + x + -4x] = 2x + 4

Combine like terms: -6 + 4 = -2
2[-2 + x + -4x] = 2x + 4

Combine like terms: x + -4x = -3x
2[-2 + -3x] = 2x + 4
[-2 * 2 + -3x * 2] = 2x + 4
[-4 + -6x] = 2x + 4

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

Solving
-4 + -6x = 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.
-4 + -6x + -2x = 4 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-4 + -8x = 4 + 0
-4 + -8x = 4

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

Combine like terms: -4 + 4 = 0
0 + -8x = 4 + 4
-8x = 4 + 4

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

Divide each side by '-8'.
x = -1

Simplifying
x = -1

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