9[3-(-3x-8)]=81x+243

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Solution for 9[3-(-3x-8)]=81x+243 equation:


Simplifying
9[3 + -1(-3x + -8)] = 81x + 243

Reorder the terms:
9[3 + -1(-8 + -3x)] = 81x + 243
9[3 + (-8 * -1 + -3x * -1)] = 81x + 243
9[3 + (8 + 3x)] = 81x + 243

Combine like terms: 3 + 8 = 11
9[11 + 3x] = 81x + 243
[11 * 9 + 3x * 9] = 81x + 243
[99 + 27x] = 81x + 243

Reorder the terms:
99 + 27x = 243 + 81x

Solving
99 + 27x = 243 + 81x

Solving for variable 'x'.

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

Add '-81x' to each side of the equation.
99 + 27x + -81x = 243 + 81x + -81x

Combine like terms: 27x + -81x = -54x
99 + -54x = 243 + 81x + -81x

Combine like terms: 81x + -81x = 0
99 + -54x = 243 + 0
99 + -54x = 243

Add '-99' to each side of the equation.
99 + -99 + -54x = 243 + -99

Combine like terms: 99 + -99 = 0
0 + -54x = 243 + -99
-54x = 243 + -99

Combine like terms: 243 + -99 = 144
-54x = 144

Divide each side by '-54'.
x = -2.666666667

Simplifying
x = -2.666666667

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