9[4-7(x-1)]+5[(4x+5)-6]=18x-331

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Solution for 9[4-7(x-1)]+5[(4x+5)-6]=18x-331 equation: 


Simplifying
9[4 + -7(x + -1)] + 5[(4x + 5) + -6] = 18x + -331

Reorder the terms:
9[4 + -7(-1 + x)] + 5[(4x + 5) + -6] = 18x + -331
9[4 + (-1 * -7 + x * -7)] + 5[(4x + 5) + -6] = 18x + -331
9[4 + (7 + -7x)] + 5[(4x + 5) + -6] = 18x + -331

Combine like terms: 4 + 7 = 11
9[11 + -7x] + 5[(4x + 5) + -6] = 18x + -331
[11 * 9 + -7x * 9] + 5[(4x + 5) + -6] = 18x + -331
[99 + -63x] + 5[(4x + 5) + -6] = 18x + -331

Reorder the terms:
99 + -63x + 5[(5 + 4x) + -6] = 18x + -331

Remove parenthesis around (5 + 4x)
99 + -63x + 5[5 + 4x + -6] = 18x + -331

Reorder the terms:
99 + -63x + 5[5 + -6 + 4x] = 18x + -331

Combine like terms: 5 + -6 = -1
99 + -63x + 5[-1 + 4x] = 18x + -331
99 + -63x + [-1 * 5 + 4x * 5] = 18x + -331
99 + -63x + [-5 + 20x] = 18x + -331

Reorder the terms:
99 + -5 + -63x + 20x = 18x + -331

Combine like terms: 99 + -5 = 94
94 + -63x + 20x = 18x + -331

Combine like terms: -63x + 20x = -43x
94 + -43x = 18x + -331

Reorder the terms:
94 + -43x = -331 + 18x

Solving
94 + -43x = -331 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
94 + -43x + -18x = -331 + 18x + -18x

Combine like terms: -43x + -18x = -61x
94 + -61x = -331 + 18x + -18x

Combine like terms: 18x + -18x = 0
94 + -61x = -331 + 0
94 + -61x = -331

Add '-94' to each side of the equation.
94 + -94 + -61x = -331 + -94

Combine like terms: 94 + -94 = 0
0 + -61x = -331 + -94
-61x = -331 + -94

Combine like terms: -331 + -94 = -425
-61x = -425

Divide each side by '-61'.
x = 6.967213115

Simplifying
x = 6.967213115

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