9[9-(-5x-6)]=90x+189

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Solution for 9[9-(-5x-6)]=90x+189 equation:


Simplifying
9[9 + -1(-5x + -6)] = 90x + 189

Reorder the terms:
9[9 + -1(-6 + -5x)] = 90x + 189
9[9 + (-6 * -1 + -5x * -1)] = 90x + 189
9[9 + (6 + 5x)] = 90x + 189

Combine like terms: 9 + 6 = 15
9[15 + 5x] = 90x + 189
[15 * 9 + 5x * 9] = 90x + 189
[135 + 45x] = 90x + 189

Reorder the terms:
135 + 45x = 189 + 90x

Solving
135 + 45x = 189 + 90x

Solving for variable 'x'.

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

Add '-90x' to each side of the equation.
135 + 45x + -90x = 189 + 90x + -90x

Combine like terms: 45x + -90x = -45x
135 + -45x = 189 + 90x + -90x

Combine like terms: 90x + -90x = 0
135 + -45x = 189 + 0
135 + -45x = 189

Add '-135' to each side of the equation.
135 + -135 + -45x = 189 + -135

Combine like terms: 135 + -135 = 0
0 + -45x = 189 + -135
-45x = 189 + -135

Combine like terms: 189 + -135 = 54
-45x = 54

Divide each side by '-45'.
x = -1.2

Simplifying
x = -1.2

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