7[6-9(x-1)]+5[(5x+2)-7]=13x-332

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Solution for 7[6-9(x-1)]+5[(5x+2)-7]=13x-332 equation: 


Simplifying
7[6 + -9(x + -1)] + 5[(5x + 2) + -7] = 13x + -332

Reorder the terms:
7[6 + -9(-1 + x)] + 5[(5x + 2) + -7] = 13x + -332
7[6 + (-1 * -9 + x * -9)] + 5[(5x + 2) + -7] = 13x + -332
7[6 + (9 + -9x)] + 5[(5x + 2) + -7] = 13x + -332

Combine like terms: 6 + 9 = 15
7[15 + -9x] + 5[(5x + 2) + -7] = 13x + -332
[15 * 7 + -9x * 7] + 5[(5x + 2) + -7] = 13x + -332
[105 + -63x] + 5[(5x + 2) + -7] = 13x + -332

Reorder the terms:
105 + -63x + 5[(2 + 5x) + -7] = 13x + -332

Remove parenthesis around (2 + 5x)
105 + -63x + 5[2 + 5x + -7] = 13x + -332

Reorder the terms:
105 + -63x + 5[2 + -7 + 5x] = 13x + -332

Combine like terms: 2 + -7 = -5
105 + -63x + 5[-5 + 5x] = 13x + -332
105 + -63x + [-5 * 5 + 5x * 5] = 13x + -332
105 + -63x + [-25 + 25x] = 13x + -332

Reorder the terms:
105 + -25 + -63x + 25x = 13x + -332

Combine like terms: 105 + -25 = 80
80 + -63x + 25x = 13x + -332

Combine like terms: -63x + 25x = -38x
80 + -38x = 13x + -332

Reorder the terms:
80 + -38x = -332 + 13x

Solving
80 + -38x = -332 + 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.
80 + -38x + -13x = -332 + 13x + -13x

Combine like terms: -38x + -13x = -51x
80 + -51x = -332 + 13x + -13x

Combine like terms: 13x + -13x = 0
80 + -51x = -332 + 0
80 + -51x = -332

Add '-80' to each side of the equation.
80 + -80 + -51x = -332 + -80

Combine like terms: 80 + -80 = 0
0 + -51x = -332 + -80
-51x = -332 + -80

Combine like terms: -332 + -80 = -412
-51x = -412

Divide each side by '-51'.
x = 8.078431373

Simplifying
x = 8.078431373

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