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

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


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

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

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

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

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

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

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

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

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

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

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

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

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