9[3-5(x-1)]+7[(2x+5)-6]=14x-336

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Solution for 9[3-5(x-1)]+7[(2x+5)-6]=14x-336 equation: 


Simplifying
9[3 + -5(x + -1)] + 7[(2x + 5) + -6] = 14x + -336

Reorder the terms:
9[3 + -5(-1 + x)] + 7[(2x + 5) + -6] = 14x + -336
9[3 + (-1 * -5 + x * -5)] + 7[(2x + 5) + -6] = 14x + -336
9[3 + (5 + -5x)] + 7[(2x + 5) + -6] = 14x + -336

Combine like terms: 3 + 5 = 8
9[8 + -5x] + 7[(2x + 5) + -6] = 14x + -336
[8 * 9 + -5x * 9] + 7[(2x + 5) + -6] = 14x + -336
[72 + -45x] + 7[(2x + 5) + -6] = 14x + -336

Reorder the terms:
72 + -45x + 7[(5 + 2x) + -6] = 14x + -336

Remove parenthesis around (5 + 2x)
72 + -45x + 7[5 + 2x + -6] = 14x + -336

Reorder the terms:
72 + -45x + 7[5 + -6 + 2x] = 14x + -336

Combine like terms: 5 + -6 = -1
72 + -45x + 7[-1 + 2x] = 14x + -336
72 + -45x + [-1 * 7 + 2x * 7] = 14x + -336
72 + -45x + [-7 + 14x] = 14x + -336

Reorder the terms:
72 + -7 + -45x + 14x = 14x + -336

Combine like terms: 72 + -7 = 65
65 + -45x + 14x = 14x + -336

Combine like terms: -45x + 14x = -31x
65 + -31x = 14x + -336

Reorder the terms:
65 + -31x = -336 + 14x

Solving
65 + -31x = -336 + 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.
65 + -31x + -14x = -336 + 14x + -14x

Combine like terms: -31x + -14x = -45x
65 + -45x = -336 + 14x + -14x

Combine like terms: 14x + -14x = 0
65 + -45x = -336 + 0
65 + -45x = -336

Add '-65' to each side of the equation.
65 + -65 + -45x = -336 + -65

Combine like terms: 65 + -65 = 0
0 + -45x = -336 + -65
-45x = -336 + -65

Combine like terms: -336 + -65 = -401
-45x = -401

Divide each side by '-45'.
x = 8.911111111

Simplifying
x = 8.911111111

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