9[5-(-3x-4)]=108x+189

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Solution for 9[5-(-3x-4)]=108x+189 equation:


Simplifying
9[5 + -1(-3x + -4)] = 108x + 189

Reorder the terms:
9[5 + -1(-4 + -3x)] = 108x + 189
9[5 + (-4 * -1 + -3x * -1)] = 108x + 189
9[5 + (4 + 3x)] = 108x + 189

Combine like terms: 5 + 4 = 9
9[9 + 3x] = 108x + 189
[9 * 9 + 3x * 9] = 108x + 189
[81 + 27x] = 108x + 189

Reorder the terms:
81 + 27x = 189 + 108x

Solving
81 + 27x = 189 + 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.
81 + 27x + -108x = 189 + 108x + -108x

Combine like terms: 27x + -108x = -81x
81 + -81x = 189 + 108x + -108x

Combine like terms: 108x + -108x = 0
81 + -81x = 189 + 0
81 + -81x = 189

Add '-81' to each side of the equation.
81 + -81 + -81x = 189 + -81

Combine like terms: 81 + -81 = 0
0 + -81x = 189 + -81
-81x = 189 + -81

Combine like terms: 189 + -81 = 108
-81x = 108

Divide each side by '-81'.
x = -1.333333333

Simplifying
x = -1.333333333

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