7(x-2)-x=-5+3x-9

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Solution for 7(x-2)-x=-5+3x-9 equation:


Simplifying
7(x + -2) + -1x = -5 + 3x + -9

Reorder the terms:
7(-2 + x) + -1x = -5 + 3x + -9
(-2 * 7 + x * 7) + -1x = -5 + 3x + -9
(-14 + 7x) + -1x = -5 + 3x + -9

Combine like terms: 7x + -1x = 6x
-14 + 6x = -5 + 3x + -9

Reorder the terms:
-14 + 6x = -5 + -9 + 3x

Combine like terms: -5 + -9 = -14
-14 + 6x = -14 + 3x

Add '14' to each side of the equation.
-14 + 14 + 6x = -14 + 14 + 3x

Combine like terms: -14 + 14 = 0
0 + 6x = -14 + 14 + 3x
6x = -14 + 14 + 3x

Combine like terms: -14 + 14 = 0
6x = 0 + 3x
6x = 3x

Solving
6x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6x + -3x = 3x + -3x

Combine like terms: 6x + -3x = 3x
3x = 3x + -3x

Combine like terms: 3x + -3x = 0
3x = 0

Divide each side by '3'.
x = 0

Simplifying
x = 0

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