x+(x+6)(-6)=x-6

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


Simplifying
x + (x + 6)(-6) = x + -6

Reorder the terms:
x + (6 + x)(-6) = x + -6

Reorder the terms for easier multiplication:
x + -6(6 + x) = x + -6
x + (6 * -6 + x * -6) = x + -6
x + (-36 + -6x) = x + -6

Reorder the terms:
-36 + x + -6x = x + -6

Combine like terms: x + -6x = -5x
-36 + -5x = x + -6

Reorder the terms:
-36 + -5x = -6 + x

Solving
-36 + -5x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-36 + -5x + -1x = -6 + x + -1x

Combine like terms: -5x + -1x = -6x
-36 + -6x = -6 + x + -1x

Combine like terms: x + -1x = 0
-36 + -6x = -6 + 0
-36 + -6x = -6

Add '36' to each side of the equation.
-36 + 36 + -6x = -6 + 36

Combine like terms: -36 + 36 = 0
0 + -6x = -6 + 36
-6x = -6 + 36

Combine like terms: -6 + 36 = 30
-6x = 30

Divide each side by '-6'.
x = -5

Simplifying
x = -5

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