7[9-7(8-x)-9]=9[7(9x-8)+6]-82

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Solution for 7[9-7(8-x)-9]=9[7(9x-8)+6]-82 equation: 


Simplifying
7[9 + -7(8 + -1x) + -9] = 9[7(9x + -8) + 6] + -82
7[9 + (8 * -7 + -1x * -7) + -9] = 9[7(9x + -8) + 6] + -82
7[9 + (-56 + 7x) + -9] = 9[7(9x + -8) + 6] + -82

Reorder the terms:
7[9 + -56 + -9 + 7x] = 9[7(9x + -8) + 6] + -82

Combine like terms: 9 + -56 = -47
7[-47 + -9 + 7x] = 9[7(9x + -8) + 6] + -82

Combine like terms: -47 + -9 = -56
7[-56 + 7x] = 9[7(9x + -8) + 6] + -82
[-56 * 7 + 7x * 7] = 9[7(9x + -8) + 6] + -82
[-392 + 49x] = 9[7(9x + -8) + 6] + -82

Reorder the terms:
-392 + 49x = 9[7(-8 + 9x) + 6] + -82
-392 + 49x = 9[(-8 * 7 + 9x * 7) + 6] + -82
-392 + 49x = 9[(-56 + 63x) + 6] + -82

Reorder the terms:
-392 + 49x = 9[-56 + 6 + 63x] + -82

Combine like terms: -56 + 6 = -50
-392 + 49x = 9[-50 + 63x] + -82
-392 + 49x = [-50 * 9 + 63x * 9] + -82
-392 + 49x = [-450 + 567x] + -82

Reorder the terms:
-392 + 49x = -450 + -82 + 567x

Combine like terms: -450 + -82 = -532
-392 + 49x = -532 + 567x

Solving
-392 + 49x = -532 + 567x

Solving for variable 'x'.

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

Add '-567x' to each side of the equation.
-392 + 49x + -567x = -532 + 567x + -567x

Combine like terms: 49x + -567x = -518x
-392 + -518x = -532 + 567x + -567x

Combine like terms: 567x + -567x = 0
-392 + -518x = -532 + 0
-392 + -518x = -532

Add '392' to each side of the equation.
-392 + 392 + -518x = -532 + 392

Combine like terms: -392 + 392 = 0
0 + -518x = -532 + 392
-518x = -532 + 392

Combine like terms: -532 + 392 = -140
-518x = -140

Divide each side by '-518'.
x = 0.2702702703

Simplifying
x = 0.2702702703

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