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

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


Simplifying
6x + 2 + -8 = 8 + -1(2x + 6)

Reorder the terms:
2 + -8 + 6x = 8 + -1(2x + 6)

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

Reorder the terms:
-6 + 6x = 8 + -1(6 + 2x)
-6 + 6x = 8 + (6 * -1 + 2x * -1)
-6 + 6x = 8 + (-6 + -2x)

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

Solving
-6 + 6x = 2 + -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.
-6 + 6x + 2x = 2 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-6 + 8x = 2 + 0
-6 + 8x = 2

Add '6' to each side of the equation.
-6 + 6 + 8x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 2 + 6
8x = 2 + 6

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

Divide each side by '8'.
x = 1

Simplifying
x = 1

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