x+[0.5(0.9784x)]+[0.12(x+[0.5(0.9784x)])]=6300

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Solution for x+[0.5(0.9784x)]+[0.12(x+[0.5(0.9784x)])]=6300 equation: 


Simplifying
x + [0.5(0.9784x)] + [0.12(x + [0.5(0.9784x)])] = 6300

Remove parenthesis around (0.9784x)
x + [0.5 * 0.9784x] + [0.12(x + [0.5(0.9784x)])] = 6300

Multiply 0.5 * 0.9784
x + [0.4892x] + [0.12(x + [0.5(0.9784x)])] = 6300

Remove parenthesis around (0.9784x)
x + [0.4892x] + [0.12(x + [0.5 * 0.9784x])] = 6300

Multiply 0.5 * 0.9784
x + [0.4892x] + [0.12(x + [0.4892x])] = 6300

Combine like terms: x + [0.4892x] = 1.4892x
x + [0.4892x] + [0.12(1.4892x)] = 6300

Remove parenthesis around (1.4892x)
x + [0.4892x] + [0.12 * 1.4892x] = 6300

Multiply 0.12 * 1.4892
x + [0.4892x] + [0.178704x] = 6300

Combine like terms: x + [0.4892x] = 1.4892x
1.4892x + [0.178704x] = 6300

Combine like terms: 1.4892x + [0.178704x] = 1.667904x
1.667904x = 6300

Solving
1.667904x = 6300

Solving for variable 'x'.

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

Divide each side by '1.667904'.
x = 3777.19581

Simplifying
x = 3777.19581

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