9[9-(-3x-2)]=108x+153

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Solution for 9[9-(-3x-2)]=108x+153 equation:


Simplifying
9[9 + -1(-3x + -2)] = 108x + 153

Reorder the terms:
9[9 + -1(-2 + -3x)] = 108x + 153
9[9 + (-2 * -1 + -3x * -1)] = 108x + 153
9[9 + (2 + 3x)] = 108x + 153

Combine like terms: 9 + 2 = 11
9[11 + 3x] = 108x + 153
[11 * 9 + 3x * 9] = 108x + 153
[99 + 27x] = 108x + 153

Reorder the terms:
99 + 27x = 153 + 108x

Solving
99 + 27x = 153 + 108x

Solving for variable 'x'.

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

Add '-108x' to each side of the equation.
99 + 27x + -108x = 153 + 108x + -108x

Combine like terms: 27x + -108x = -81x
99 + -81x = 153 + 108x + -108x

Combine like terms: 108x + -108x = 0
99 + -81x = 153 + 0
99 + -81x = 153

Add '-99' to each side of the equation.
99 + -99 + -81x = 153 + -99

Combine like terms: 99 + -99 = 0
0 + -81x = 153 + -99
-81x = 153 + -99

Combine like terms: 153 + -99 = 54
-81x = 54

Divide each side by '-81'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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