8[6-7(x-1)]+7[(5x+6)-8]=14x-334

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Solution for 8[6-7(x-1)]+7[(5x+6)-8]=14x-334 equation: 


Simplifying
8[6 + -7(x + -1)] + 7[(5x + 6) + -8] = 14x + -334

Reorder the terms:
8[6 + -7(-1 + x)] + 7[(5x + 6) + -8] = 14x + -334
8[6 + (-1 * -7 + x * -7)] + 7[(5x + 6) + -8] = 14x + -334
8[6 + (7 + -7x)] + 7[(5x + 6) + -8] = 14x + -334

Combine like terms: 6 + 7 = 13
8[13 + -7x] + 7[(5x + 6) + -8] = 14x + -334
[13 * 8 + -7x * 8] + 7[(5x + 6) + -8] = 14x + -334
[104 + -56x] + 7[(5x + 6) + -8] = 14x + -334

Reorder the terms:
104 + -56x + 7[(6 + 5x) + -8] = 14x + -334

Remove parenthesis around (6 + 5x)
104 + -56x + 7[6 + 5x + -8] = 14x + -334

Reorder the terms:
104 + -56x + 7[6 + -8 + 5x] = 14x + -334

Combine like terms: 6 + -8 = -2
104 + -56x + 7[-2 + 5x] = 14x + -334
104 + -56x + [-2 * 7 + 5x * 7] = 14x + -334
104 + -56x + [-14 + 35x] = 14x + -334

Reorder the terms:
104 + -14 + -56x + 35x = 14x + -334

Combine like terms: 104 + -14 = 90
90 + -56x + 35x = 14x + -334

Combine like terms: -56x + 35x = -21x
90 + -21x = 14x + -334

Reorder the terms:
90 + -21x = -334 + 14x

Solving
90 + -21x = -334 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
90 + -21x + -14x = -334 + 14x + -14x

Combine like terms: -21x + -14x = -35x
90 + -35x = -334 + 14x + -14x

Combine like terms: 14x + -14x = 0
90 + -35x = -334 + 0
90 + -35x = -334

Add '-90' to each side of the equation.
90 + -90 + -35x = -334 + -90

Combine like terms: 90 + -90 = 0
0 + -35x = -334 + -90
-35x = -334 + -90

Combine like terms: -334 + -90 = -424
-35x = -424

Divide each side by '-35'.
x = 12.11428571

Simplifying
x = 12.11428571

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