(x-9)-(2x+7)=-13

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Solution for (x-9)-(2x+7)=-13 equation:


Simplifying
(x + -9) + -1(2x + 7) = -13

Reorder the terms:
(-9 + x) + -1(2x + 7) = -13

Remove parenthesis around (-9 + x)
-9 + x + -1(2x + 7) = -13

Reorder the terms:
-9 + x + -1(7 + 2x) = -13
-9 + x + (7 * -1 + 2x * -1) = -13
-9 + x + (-7 + -2x) = -13

Reorder the terms:
-9 + -7 + x + -2x = -13

Combine like terms: -9 + -7 = -16
-16 + x + -2x = -13

Combine like terms: x + -2x = -1x
-16 + -1x = -13

Solving
-16 + -1x = -13

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + -1x = -13 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = -13 + 16
-1x = -13 + 16

Combine like terms: -13 + 16 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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