8-(2x-3)=3(2-3x)-9

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Solution for 8-(2x-3)=3(2-3x)-9 equation: 


Simplifying
8 + -1(2x + -3) = 3(2 + -3x) + -9

Reorder the terms:
8 + -1(-3 + 2x) = 3(2 + -3x) + -9
8 + (-3 * -1 + 2x * -1) = 3(2 + -3x) + -9
8 + (3 + -2x) = 3(2 + -3x) + -9

Combine like terms: 8 + 3 = 11
11 + -2x = 3(2 + -3x) + -9
11 + -2x = (2 * 3 + -3x * 3) + -9
11 + -2x = (6 + -9x) + -9

Reorder the terms:
11 + -2x = 6 + -9 + -9x

Combine like terms: 6 + -9 = -3
11 + -2x = -3 + -9x

Solving
11 + -2x = -3 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
11 + -2x + 9x = -3 + -9x + 9x

Combine like terms: -2x + 9x = 7x
11 + 7x = -3 + -9x + 9x

Combine like terms: -9x + 9x = 0
11 + 7x = -3 + 0
11 + 7x = -3

Add '-11' to each side of the equation.
11 + -11 + 7x = -3 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = -3 + -11
7x = -3 + -11

Combine like terms: -3 + -11 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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