3[9-(-9x-7)]=81x+90

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Solution for 3[9-(-9x-7)]=81x+90 equation:


Simplifying
3[9 + -1(-9x + -7)] = 81x + 90

Reorder the terms:
3[9 + -1(-7 + -9x)] = 81x + 90
3[9 + (-7 * -1 + -9x * -1)] = 81x + 90
3[9 + (7 + 9x)] = 81x + 90

Combine like terms: 9 + 7 = 16
3[16 + 9x] = 81x + 90
[16 * 3 + 9x * 3] = 81x + 90
[48 + 27x] = 81x + 90

Reorder the terms:
48 + 27x = 90 + 81x

Solving
48 + 27x = 90 + 81x

Solving for variable 'x'.

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

Add '-81x' to each side of the equation.
48 + 27x + -81x = 90 + 81x + -81x

Combine like terms: 27x + -81x = -54x
48 + -54x = 90 + 81x + -81x

Combine like terms: 81x + -81x = 0
48 + -54x = 90 + 0
48 + -54x = 90

Add '-48' to each side of the equation.
48 + -48 + -54x = 90 + -48

Combine like terms: 48 + -48 = 0
0 + -54x = 90 + -48
-54x = 90 + -48

Combine like terms: 90 + -48 = 42
-54x = 42

Divide each side by '-54'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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