2x-(4x+2)=16-(6x+6)

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Solution for 2x-(4x+2)=16-(6x+6) equation:


Simplifying
2x + -1(4x + 2) = 16 + -1(6x + 6)

Reorder the terms:
2x + -1(2 + 4x) = 16 + -1(6x + 6)
2x + (2 * -1 + 4x * -1) = 16 + -1(6x + 6)
2x + (-2 + -4x) = 16 + -1(6x + 6)

Reorder the terms:
-2 + 2x + -4x = 16 + -1(6x + 6)

Combine like terms: 2x + -4x = -2x
-2 + -2x = 16 + -1(6x + 6)

Reorder the terms:
-2 + -2x = 16 + -1(6 + 6x)
-2 + -2x = 16 + (6 * -1 + 6x * -1)
-2 + -2x = 16 + (-6 + -6x)

Combine like terms: 16 + -6 = 10
-2 + -2x = 10 + -6x

Solving
-2 + -2x = 10 + -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 + -2x + 6x = 10 + -6x + 6x

Combine like terms: -2x + 6x = 4x
-2 + 4x = 10 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2 + 4x = 10 + 0
-2 + 4x = 10

Add '2' to each side of the equation.
-2 + 2 + 4x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 10 + 2
4x = 10 + 2

Combine like terms: 10 + 2 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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