9[6-9(x-1)]+5[(4x+5)-9]=16x-334

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Solution for 9[6-9(x-1)]+5[(4x+5)-9]=16x-334 equation: 


Simplifying
9[6 + -9(x + -1)] + 5[(4x + 5) + -9] = 16x + -334

Reorder the terms:
9[6 + -9(-1 + x)] + 5[(4x + 5) + -9] = 16x + -334
9[6 + (-1 * -9 + x * -9)] + 5[(4x + 5) + -9] = 16x + -334
9[6 + (9 + -9x)] + 5[(4x + 5) + -9] = 16x + -334

Combine like terms: 6 + 9 = 15
9[15 + -9x] + 5[(4x + 5) + -9] = 16x + -334
[15 * 9 + -9x * 9] + 5[(4x + 5) + -9] = 16x + -334
[135 + -81x] + 5[(4x + 5) + -9] = 16x + -334

Reorder the terms:
135 + -81x + 5[(5 + 4x) + -9] = 16x + -334

Remove parenthesis around (5 + 4x)
135 + -81x + 5[5 + 4x + -9] = 16x + -334

Reorder the terms:
135 + -81x + 5[5 + -9 + 4x] = 16x + -334

Combine like terms: 5 + -9 = -4
135 + -81x + 5[-4 + 4x] = 16x + -334
135 + -81x + [-4 * 5 + 4x * 5] = 16x + -334
135 + -81x + [-20 + 20x] = 16x + -334

Reorder the terms:
135 + -20 + -81x + 20x = 16x + -334

Combine like terms: 135 + -20 = 115
115 + -81x + 20x = 16x + -334

Combine like terms: -81x + 20x = -61x
115 + -61x = 16x + -334

Reorder the terms:
115 + -61x = -334 + 16x

Solving
115 + -61x = -334 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
115 + -61x + -16x = -334 + 16x + -16x

Combine like terms: -61x + -16x = -77x
115 + -77x = -334 + 16x + -16x

Combine like terms: 16x + -16x = 0
115 + -77x = -334 + 0
115 + -77x = -334

Add '-115' to each side of the equation.
115 + -115 + -77x = -334 + -115

Combine like terms: 115 + -115 = 0
0 + -77x = -334 + -115
-77x = -334 + -115

Combine like terms: -334 + -115 = -449
-77x = -449

Divide each side by '-77'.
x = 5.831168831

Simplifying
x = 5.831168831

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