9[5-9(x-1)]+7[(3x+5)-6]=13x-338

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Solution for 9[5-9(x-1)]+7[(3x+5)-6]=13x-338 equation: 


Simplifying
9[5 + -9(x + -1)] + 7[(3x + 5) + -6] = 13x + -338

Reorder the terms:
9[5 + -9(-1 + x)] + 7[(3x + 5) + -6] = 13x + -338
9[5 + (-1 * -9 + x * -9)] + 7[(3x + 5) + -6] = 13x + -338
9[5 + (9 + -9x)] + 7[(3x + 5) + -6] = 13x + -338

Combine like terms: 5 + 9 = 14
9[14 + -9x] + 7[(3x + 5) + -6] = 13x + -338
[14 * 9 + -9x * 9] + 7[(3x + 5) + -6] = 13x + -338
[126 + -81x] + 7[(3x + 5) + -6] = 13x + -338

Reorder the terms:
126 + -81x + 7[(5 + 3x) + -6] = 13x + -338

Remove parenthesis around (5 + 3x)
126 + -81x + 7[5 + 3x + -6] = 13x + -338

Reorder the terms:
126 + -81x + 7[5 + -6 + 3x] = 13x + -338

Combine like terms: 5 + -6 = -1
126 + -81x + 7[-1 + 3x] = 13x + -338
126 + -81x + [-1 * 7 + 3x * 7] = 13x + -338
126 + -81x + [-7 + 21x] = 13x + -338

Reorder the terms:
126 + -7 + -81x + 21x = 13x + -338

Combine like terms: 126 + -7 = 119
119 + -81x + 21x = 13x + -338

Combine like terms: -81x + 21x = -60x
119 + -60x = 13x + -338

Reorder the terms:
119 + -60x = -338 + 13x

Solving
119 + -60x = -338 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
119 + -60x + -13x = -338 + 13x + -13x

Combine like terms: -60x + -13x = -73x
119 + -73x = -338 + 13x + -13x

Combine like terms: 13x + -13x = 0
119 + -73x = -338 + 0
119 + -73x = -338

Add '-119' to each side of the equation.
119 + -119 + -73x = -338 + -119

Combine like terms: 119 + -119 = 0
0 + -73x = -338 + -119
-73x = -338 + -119

Combine like terms: -338 + -119 = -457
-73x = -457

Divide each side by '-73'.
x = 6.260273973

Simplifying
x = 6.260273973

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