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

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


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

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

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

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

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

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

Combine like terms: -1 + -3 = -4
-4 + x + -2x = -9

Combine like terms: x + -2x = -1x
-4 + -1x = -9

Solving
-4 + -1x = -9

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + -1x = -9 + 4

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

Combine like terms: -9 + 4 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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