9[7-(-3x-6)]=216x+495

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Solution for 9[7-(-3x-6)]=216x+495 equation:


Simplifying
9[7 + -1(-3x + -6)] = 216x + 495

Reorder the terms:
9[7 + -1(-6 + -3x)] = 216x + 495
9[7 + (-6 * -1 + -3x * -1)] = 216x + 495
9[7 + (6 + 3x)] = 216x + 495

Combine like terms: 7 + 6 = 13
9[13 + 3x] = 216x + 495
[13 * 9 + 3x * 9] = 216x + 495
[117 + 27x] = 216x + 495

Reorder the terms:
117 + 27x = 495 + 216x

Solving
117 + 27x = 495 + 216x

Solving for variable 'x'.

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

Add '-216x' to each side of the equation.
117 + 27x + -216x = 495 + 216x + -216x

Combine like terms: 27x + -216x = -189x
117 + -189x = 495 + 216x + -216x

Combine like terms: 216x + -216x = 0
117 + -189x = 495 + 0
117 + -189x = 495

Add '-117' to each side of the equation.
117 + -117 + -189x = 495 + -117

Combine like terms: 117 + -117 = 0
0 + -189x = 495 + -117
-189x = 495 + -117

Combine like terms: 495 + -117 = 378
-189x = 378

Divide each side by '-189'.
x = -2

Simplifying
x = -2

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