9[7-(-6x-9)]=108x+225

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Solution for 9[7-(-6x-9)]=108x+225 equation:


Simplifying
9[7 + -1(-6x + -9)] = 108x + 225

Reorder the terms:
9[7 + -1(-9 + -6x)] = 108x + 225
9[7 + (-9 * -1 + -6x * -1)] = 108x + 225
9[7 + (9 + 6x)] = 108x + 225

Combine like terms: 7 + 9 = 16
9[16 + 6x] = 108x + 225
[16 * 9 + 6x * 9] = 108x + 225
[144 + 54x] = 108x + 225

Reorder the terms:
144 + 54x = 225 + 108x

Solving
144 + 54x = 225 + 108x

Solving for variable 'x'.

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

Add '-108x' to each side of the equation.
144 + 54x + -108x = 225 + 108x + -108x

Combine like terms: 54x + -108x = -54x
144 + -54x = 225 + 108x + -108x

Combine like terms: 108x + -108x = 0
144 + -54x = 225 + 0
144 + -54x = 225

Add '-144' to each side of the equation.
144 + -144 + -54x = 225 + -144

Combine like terms: 144 + -144 = 0
0 + -54x = 225 + -144
-54x = 225 + -144

Combine like terms: 225 + -144 = 81
-54x = 81

Divide each side by '-54'.
x = -1.5

Simplifying
x = -1.5

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