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

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


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

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

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

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

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

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

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

Solving
-9 + -2x = 9

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + -2x = 9 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 9 + 9
-2x = 9 + 9

Combine like terms: 9 + 9 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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