-[6x-(2x+2)]=-[4(2x-3)-2x]

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Solution for -[6x-(2x+2)]=-[4(2x-3)-2x] equation:


Simplifying
-1[6x + -1(2x + 2)] = -1[4(2x + -3) + -2x]

Reorder the terms:
-1[6x + -1(2 + 2x)] = -1[4(2x + -3) + -2x]
-1[6x + (2 * -1 + 2x * -1)] = -1[4(2x + -3) + -2x]
-1[6x + (-2 + -2x)] = -1[4(2x + -3) + -2x]

Reorder the terms:
-1[-2 + 6x + -2x] = -1[4(2x + -3) + -2x]

Combine like terms: 6x + -2x = 4x
-1[-2 + 4x] = -1[4(2x + -3) + -2x]
[-2 * -1 + 4x * -1] = -1[4(2x + -3) + -2x]
[2 + -4x] = -1[4(2x + -3) + -2x]

Reorder the terms:
2 + -4x = -1[4(-3 + 2x) + -2x]
2 + -4x = -1[(-3 * 4 + 2x * 4) + -2x]
2 + -4x = -1[(-12 + 8x) + -2x]

Combine like terms: 8x + -2x = 6x
2 + -4x = -1[-12 + 6x]
2 + -4x = [-12 * -1 + 6x * -1]
2 + -4x = [12 + -6x]

Solving
2 + -4x = 12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
2 + -4x + 6x = 12 + -6x + 6x

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

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

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

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

Combine like terms: 12 + -2 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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