6[6-8(x-1)]+5[(4x+3)-5]=18x-337

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Solution for 6[6-8(x-1)]+5[(4x+3)-5]=18x-337 equation: 


Simplifying
6[6 + -8(x + -1)] + 5[(4x + 3) + -5] = 18x + -337

Reorder the terms:
6[6 + -8(-1 + x)] + 5[(4x + 3) + -5] = 18x + -337
6[6 + (-1 * -8 + x * -8)] + 5[(4x + 3) + -5] = 18x + -337
6[6 + (8 + -8x)] + 5[(4x + 3) + -5] = 18x + -337

Combine like terms: 6 + 8 = 14
6[14 + -8x] + 5[(4x + 3) + -5] = 18x + -337
[14 * 6 + -8x * 6] + 5[(4x + 3) + -5] = 18x + -337
[84 + -48x] + 5[(4x + 3) + -5] = 18x + -337

Reorder the terms:
84 + -48x + 5[(3 + 4x) + -5] = 18x + -337

Remove parenthesis around (3 + 4x)
84 + -48x + 5[3 + 4x + -5] = 18x + -337

Reorder the terms:
84 + -48x + 5[3 + -5 + 4x] = 18x + -337

Combine like terms: 3 + -5 = -2
84 + -48x + 5[-2 + 4x] = 18x + -337
84 + -48x + [-2 * 5 + 4x * 5] = 18x + -337
84 + -48x + [-10 + 20x] = 18x + -337

Reorder the terms:
84 + -10 + -48x + 20x = 18x + -337

Combine like terms: 84 + -10 = 74
74 + -48x + 20x = 18x + -337

Combine like terms: -48x + 20x = -28x
74 + -28x = 18x + -337

Reorder the terms:
74 + -28x = -337 + 18x

Solving
74 + -28x = -337 + 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.
74 + -28x + -18x = -337 + 18x + -18x

Combine like terms: -28x + -18x = -46x
74 + -46x = -337 + 18x + -18x

Combine like terms: 18x + -18x = 0
74 + -46x = -337 + 0
74 + -46x = -337

Add '-74' to each side of the equation.
74 + -74 + -46x = -337 + -74

Combine like terms: 74 + -74 = 0
0 + -46x = -337 + -74
-46x = -337 + -74

Combine like terms: -337 + -74 = -411
-46x = -411

Divide each side by '-46'.
x = 8.934782609

Simplifying
x = 8.934782609

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