(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: x + -2x = -1x
-1 + -1x + -3x = 9

Combine like terms: -1x + -3x = -4x
-1 + -4x = 9

Solving
-1 + -4x = 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 + 1 + -4x = 9 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 9 + 1
-4x = 9 + 1

Combine like terms: 9 + 1 = 10
-4x = 10

Divide each side by '-4'.
x = -2.5

Simplifying
x = -2.5

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