(X-9)-(x+6)=5x

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Solution for (X-9)-(x+6)=5x equation:


Simplifying
(X + -9) + -1(x + 6) = 5x

Reorder the terms:
(-9 + X) + -1(x + 6) = 5x

Remove parenthesis around (-9 + X)
-9 + X + -1(x + 6) = 5x

Reorder the terms:
-9 + X + -1(6 + x) = 5x
-9 + X + (6 * -1 + x * -1) = 5x
-9 + X + (-6 + -1x) = 5x

Reorder the terms:
-9 + -6 + X + -1x = 5x

Combine like terms: -9 + -6 = -15
-15 + X + -1x = 5x

Solving
-15 + X + -1x = 5x

Solving for variable 'X'.

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

Add '15' to each side of the equation.
-15 + X + 15 + -1x = 15 + 5x

Reorder the terms:
-15 + 15 + X + -1x = 15 + 5x

Combine like terms: -15 + 15 = 0
0 + X + -1x = 15 + 5x
X + -1x = 15 + 5x

Add 'x' to each side of the equation.
X + -1x + x = 15 + 5x + x

Combine like terms: -1x + x = 0
X + 0 = 15 + 5x + x
X = 15 + 5x + x

Combine like terms: 5x + x = 6x
X = 15 + 6x

Simplifying
X = 15 + 6x

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