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

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


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

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

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

Combine like terms: 6 + 2 = 8
8 + x + -1x = 4x + -2

Combine like terms: x + -1x = 0
8 + 0 = 4x + -2
8 = 4x + -2

Reorder the terms:
8 = -2 + 4x

Solving
8 = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + -4x = -2 + 4x + -4x

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

Add '-8' to each side of the equation.
8 + -8 + -4x = -2 + -8

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

Combine like terms: -2 + -8 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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