9[6-(-9x-4)]=729x+378

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Solution for 9[6-(-9x-4)]=729x+378 equation:


Simplifying
9[6 + -1(-9x + -4)] = 729x + 378

Reorder the terms:
9[6 + -1(-4 + -9x)] = 729x + 378
9[6 + (-4 * -1 + -9x * -1)] = 729x + 378
9[6 + (4 + 9x)] = 729x + 378

Combine like terms: 6 + 4 = 10
9[10 + 9x] = 729x + 378
[10 * 9 + 9x * 9] = 729x + 378
[90 + 81x] = 729x + 378

Reorder the terms:
90 + 81x = 378 + 729x

Solving
90 + 81x = 378 + 729x

Solving for variable 'x'.

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

Add '-729x' to each side of the equation.
90 + 81x + -729x = 378 + 729x + -729x

Combine like terms: 81x + -729x = -648x
90 + -648x = 378 + 729x + -729x

Combine like terms: 729x + -729x = 0
90 + -648x = 378 + 0
90 + -648x = 378

Add '-90' to each side of the equation.
90 + -90 + -648x = 378 + -90

Combine like terms: 90 + -90 = 0
0 + -648x = 378 + -90
-648x = 378 + -90

Combine like terms: 378 + -90 = 288
-648x = 288

Divide each side by '-648'.
x = -0.4444444444

Simplifying
x = -0.4444444444

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