6x+6=7-(5x-2)

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Solution for 6x+6=7-(5x-2) equation:


Simplifying
6x + 6 = 7 + -1(5x + -2)

Reorder the terms:
6 + 6x = 7 + -1(5x + -2)

Reorder the terms:
6 + 6x = 7 + -1(-2 + 5x)
6 + 6x = 7 + (-2 * -1 + 5x * -1)
6 + 6x = 7 + (2 + -5x)

Combine like terms: 7 + 2 = 9
6 + 6x = 9 + -5x

Solving
6 + 6x = 9 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
6 + 6x + 5x = 9 + -5x + 5x

Combine like terms: 6x + 5x = 11x
6 + 11x = 9 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 11x = 9 + 0
6 + 11x = 9

Add '-6' to each side of the equation.
6 + -6 + 11x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = 9 + -6
11x = 9 + -6

Combine like terms: 9 + -6 = 3
11x = 3

Divide each side by '11'.
x = 0.2727272727

Simplifying
x = 0.2727272727

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