8[4-6(x-1)]+5[(2x+3)-5]=18x-338

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Solution for 8[4-6(x-1)]+5[(2x+3)-5]=18x-338 equation: 


Simplifying
8[4 + -6(x + -1)] + 5[(2x + 3) + -5] = 18x + -338

Reorder the terms:
8[4 + -6(-1 + x)] + 5[(2x + 3) + -5] = 18x + -338
8[4 + (-1 * -6 + x * -6)] + 5[(2x + 3) + -5] = 18x + -338
8[4 + (6 + -6x)] + 5[(2x + 3) + -5] = 18x + -338

Combine like terms: 4 + 6 = 10
8[10 + -6x] + 5[(2x + 3) + -5] = 18x + -338
[10 * 8 + -6x * 8] + 5[(2x + 3) + -5] = 18x + -338
[80 + -48x] + 5[(2x + 3) + -5] = 18x + -338

Reorder the terms:
80 + -48x + 5[(3 + 2x) + -5] = 18x + -338

Remove parenthesis around (3 + 2x)
80 + -48x + 5[3 + 2x + -5] = 18x + -338

Reorder the terms:
80 + -48x + 5[3 + -5 + 2x] = 18x + -338

Combine like terms: 3 + -5 = -2
80 + -48x + 5[-2 + 2x] = 18x + -338
80 + -48x + [-2 * 5 + 2x * 5] = 18x + -338
80 + -48x + [-10 + 10x] = 18x + -338

Reorder the terms:
80 + -10 + -48x + 10x = 18x + -338

Combine like terms: 80 + -10 = 70
70 + -48x + 10x = 18x + -338

Combine like terms: -48x + 10x = -38x
70 + -38x = 18x + -338

Reorder the terms:
70 + -38x = -338 + 18x

Solving
70 + -38x = -338 + 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.
70 + -38x + -18x = -338 + 18x + -18x

Combine like terms: -38x + -18x = -56x
70 + -56x = -338 + 18x + -18x

Combine like terms: 18x + -18x = 0
70 + -56x = -338 + 0
70 + -56x = -338

Add '-70' to each side of the equation.
70 + -70 + -56x = -338 + -70

Combine like terms: 70 + -70 = 0
0 + -56x = -338 + -70
-56x = -338 + -70

Combine like terms: -338 + -70 = -408
-56x = -408

Divide each side by '-56'.
x = 7.285714286

Simplifying
x = 7.285714286

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