14[9+6(3x+2)]=28[300-11(12x-8)]+126

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Solution for 14[9+6(3x+2)]=28[300-11(12x-8)]+126 equation: 


Simplifying
14[9 + 6(3x + 2)] = 28[300 + -11(12x + -8)] + 126

Reorder the terms:
14[9 + 6(2 + 3x)] = 28[300 + -11(12x + -8)] + 126
14[9 + (2 * 6 + 3x * 6)] = 28[300 + -11(12x + -8)] + 126
14[9 + (12 + 18x)] = 28[300 + -11(12x + -8)] + 126

Combine like terms: 9 + 12 = 21
14[21 + 18x] = 28[300 + -11(12x + -8)] + 126
[21 * 14 + 18x * 14] = 28[300 + -11(12x + -8)] + 126
[294 + 252x] = 28[300 + -11(12x + -8)] + 126

Reorder the terms:
294 + 252x = 28[300 + -11(-8 + 12x)] + 126
294 + 252x = 28[300 + (-8 * -11 + 12x * -11)] + 126
294 + 252x = 28[300 + (88 + -132x)] + 126

Combine like terms: 300 + 88 = 388
294 + 252x = 28[388 + -132x] + 126
294 + 252x = [388 * 28 + -132x * 28] + 126
294 + 252x = [10864 + -3696x] + 126

Reorder the terms:
294 + 252x = 10864 + 126 + -3696x

Combine like terms: 10864 + 126 = 10990
294 + 252x = 10990 + -3696x

Solving
294 + 252x = 10990 + -3696x

Solving for variable 'x'.

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

Add '3696x' to each side of the equation.
294 + 252x + 3696x = 10990 + -3696x + 3696x

Combine like terms: 252x + 3696x = 3948x
294 + 3948x = 10990 + -3696x + 3696x

Combine like terms: -3696x + 3696x = 0
294 + 3948x = 10990 + 0
294 + 3948x = 10990

Add '-294' to each side of the equation.
294 + -294 + 3948x = 10990 + -294

Combine like terms: 294 + -294 = 0
0 + 3948x = 10990 + -294
3948x = 10990 + -294

Combine like terms: 10990 + -294 = 10696
3948x = 10696

Divide each side by '3948'.
x = 2.709219858

Simplifying
x = 2.709219858

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