2x+6=6-(8x-5)

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Solution for 2x+6=6-(8x-5) equation:


Simplifying
2x + 6 = 6 + -1(8x + -5)

Reorder the terms:
6 + 2x = 6 + -1(8x + -5)

Reorder the terms:
6 + 2x = 6 + -1(-5 + 8x)
6 + 2x = 6 + (-5 * -1 + 8x * -1)
6 + 2x = 6 + (5 + -8x)

Combine like terms: 6 + 5 = 11
6 + 2x = 11 + -8x

Solving
6 + 2x = 11 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
6 + 2x + 8x = 11 + -8x + 8x

Combine like terms: 2x + 8x = 10x
6 + 10x = 11 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 10x = 11 + 0
6 + 10x = 11

Add '-6' to each side of the equation.
6 + -6 + 10x = 11 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = 11 + -6
10x = 11 + -6

Combine like terms: 11 + -6 = 5
10x = 5

Divide each side by '10'.
x = 0.5

Simplifying
x = 0.5

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