9[5-9(x-1)]+6[(2x+3)-5]=11x-336

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Solution for 9[5-9(x-1)]+6[(2x+3)-5]=11x-336 equation: 


Simplifying
9[5 + -9(x + -1)] + 6[(2x + 3) + -5] = 11x + -336

Reorder the terms:
9[5 + -9(-1 + x)] + 6[(2x + 3) + -5] = 11x + -336
9[5 + (-1 * -9 + x * -9)] + 6[(2x + 3) + -5] = 11x + -336
9[5 + (9 + -9x)] + 6[(2x + 3) + -5] = 11x + -336

Combine like terms: 5 + 9 = 14
9[14 + -9x] + 6[(2x + 3) + -5] = 11x + -336
[14 * 9 + -9x * 9] + 6[(2x + 3) + -5] = 11x + -336
[126 + -81x] + 6[(2x + 3) + -5] = 11x + -336

Reorder the terms:
126 + -81x + 6[(3 + 2x) + -5] = 11x + -336

Remove parenthesis around (3 + 2x)
126 + -81x + 6[3 + 2x + -5] = 11x + -336

Reorder the terms:
126 + -81x + 6[3 + -5 + 2x] = 11x + -336

Combine like terms: 3 + -5 = -2
126 + -81x + 6[-2 + 2x] = 11x + -336
126 + -81x + [-2 * 6 + 2x * 6] = 11x + -336
126 + -81x + [-12 + 12x] = 11x + -336

Reorder the terms:
126 + -12 + -81x + 12x = 11x + -336

Combine like terms: 126 + -12 = 114
114 + -81x + 12x = 11x + -336

Combine like terms: -81x + 12x = -69x
114 + -69x = 11x + -336

Reorder the terms:
114 + -69x = -336 + 11x

Solving
114 + -69x = -336 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
114 + -69x + -11x = -336 + 11x + -11x

Combine like terms: -69x + -11x = -80x
114 + -80x = -336 + 11x + -11x

Combine like terms: 11x + -11x = 0
114 + -80x = -336 + 0
114 + -80x = -336

Add '-114' to each side of the equation.
114 + -114 + -80x = -336 + -114

Combine like terms: 114 + -114 = 0
0 + -80x = -336 + -114
-80x = -336 + -114

Combine like terms: -336 + -114 = -450
-80x = -450

Divide each side by '-80'.
x = 5.625

Simplifying
x = 5.625

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