2x+6=4x-2(2x+6)-8

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Solution for 2x+6=4x-2(2x+6)-8 equation:


Simplifying
2x + 6 = 4x + -2(2x + 6) + -8

Reorder the terms:
6 + 2x = 4x + -2(2x + 6) + -8

Reorder the terms:
6 + 2x = 4x + -2(6 + 2x) + -8
6 + 2x = 4x + (6 * -2 + 2x * -2) + -8
6 + 2x = 4x + (-12 + -4x) + -8

Reorder the terms:
6 + 2x = -12 + -8 + 4x + -4x

Combine like terms: -12 + -8 = -20
6 + 2x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 2x = -20 + 0
6 + 2x = -20

Solving
6 + 2x = -20

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x = -20 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = -20 + -6
2x = -20 + -6

Combine like terms: -20 + -6 = -26
2x = -26

Divide each side by '2'.
x = -13

Simplifying
x = -13

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