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

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


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

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

Remove parenthesis around (5 + 6x)
5 + 6x + -1(x + -6) = 2

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

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

Combine like terms: 5 + 6 = 11
11 + 6x + -1x = 2

Combine like terms: 6x + -1x = 5x
11 + 5x = 2

Solving
11 + 5x = 2

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 5x = 2 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 2 + -11
5x = 2 + -11

Combine like terms: 2 + -11 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8

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