(X+6)-(2x+7)-3x=-9

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Solution for (X+6)-(2x+7)-3x=-9 equation:


Simplifying
(X + 6) + -1(2x + 7) + -3x = -9

Reorder the terms:
(6 + X) + -1(2x + 7) + -3x = -9

Remove parenthesis around (6 + X)
6 + X + -1(2x + 7) + -3x = -9

Reorder the terms:
6 + X + -1(7 + 2x) + -3x = -9
6 + X + (7 * -1 + 2x * -1) + -3x = -9
6 + X + (-7 + -2x) + -3x = -9

Reorder the terms:
6 + -7 + X + -2x + -3x = -9

Combine like terms: 6 + -7 = -1
-1 + X + -2x + -3x = -9

Combine like terms: -2x + -3x = -5x
-1 + X + -5x = -9

Solving
-1 + X + -5x = -9

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + X + 1 + -5x = -9 + 1

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

Combine like terms: -1 + 1 = 0
0 + X + -5x = -9 + 1
X + -5x = -9 + 1

Combine like terms: -9 + 1 = -8
X + -5x = -8

Add '5x' to each side of the equation.
X + -5x + 5x = -8 + 5x

Combine like terms: -5x + 5x = 0
X + 0 = -8 + 5x
X = -8 + 5x

Simplifying
X = -8 + 5x

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