6-2(x-1)=2x+28

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Solution for 6-2(x-1)=2x+28 equation:


Simplifying
6 + -2(x + -1) = 2x + 28

Reorder the terms:
6 + -2(-1 + x) = 2x + 28
6 + (-1 * -2 + x * -2) = 2x + 28
6 + (2 + -2x) = 2x + 28

Combine like terms: 6 + 2 = 8
8 + -2x = 2x + 28

Reorder the terms:
8 + -2x = 28 + 2x

Solving
8 + -2x = 28 + 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.
8 + -2x + -2x = 28 + 2x + -2x

Combine like terms: -2x + -2x = -4x
8 + -4x = 28 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -4x = 28 + 0
8 + -4x = 28

Add '-8' to each side of the equation.
8 + -8 + -4x = 28 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 28 + -8
-4x = 28 + -8

Combine like terms: 28 + -8 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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