3(x+2)-7x=9(x-18)+9x-2

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Solution for 3(x+2)-7x=9(x-18)+9x-2 equation:


Simplifying
3(x + 2) + -7x = 9(x + -18) + 9x + -2

Reorder the terms:
3(2 + x) + -7x = 9(x + -18) + 9x + -2
(2 * 3 + x * 3) + -7x = 9(x + -18) + 9x + -2
(6 + 3x) + -7x = 9(x + -18) + 9x + -2

Combine like terms: 3x + -7x = -4x
6 + -4x = 9(x + -18) + 9x + -2

Reorder the terms:
6 + -4x = 9(-18 + x) + 9x + -2
6 + -4x = (-18 * 9 + x * 9) + 9x + -2
6 + -4x = (-162 + 9x) + 9x + -2

Reorder the terms:
6 + -4x = -162 + -2 + 9x + 9x

Combine like terms: -162 + -2 = -164
6 + -4x = -164 + 9x + 9x

Combine like terms: 9x + 9x = 18x
6 + -4x = -164 + 18x

Solving
6 + -4x = -164 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
6 + -4x + -18x = -164 + 18x + -18x

Combine like terms: -4x + -18x = -22x
6 + -22x = -164 + 18x + -18x

Combine like terms: 18x + -18x = 0
6 + -22x = -164 + 0
6 + -22x = -164

Add '-6' to each side of the equation.
6 + -6 + -22x = -164 + -6

Combine like terms: 6 + -6 = 0
0 + -22x = -164 + -6
-22x = -164 + -6

Combine like terms: -164 + -6 = -170
-22x = -170

Divide each side by '-22'.
x = 7.727272727

Simplifying
x = 7.727272727

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