3[7-(-9x-6)]=81x+75

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Solution for 3[7-(-9x-6)]=81x+75 equation:


Simplifying
3[7 + -1(-9x + -6)] = 81x + 75

Reorder the terms:
3[7 + -1(-6 + -9x)] = 81x + 75
3[7 + (-6 * -1 + -9x * -1)] = 81x + 75
3[7 + (6 + 9x)] = 81x + 75

Combine like terms: 7 + 6 = 13
3[13 + 9x] = 81x + 75
[13 * 3 + 9x * 3] = 81x + 75
[39 + 27x] = 81x + 75

Reorder the terms:
39 + 27x = 75 + 81x

Solving
39 + 27x = 75 + 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.
39 + 27x + -81x = 75 + 81x + -81x

Combine like terms: 27x + -81x = -54x
39 + -54x = 75 + 81x + -81x

Combine like terms: 81x + -81x = 0
39 + -54x = 75 + 0
39 + -54x = 75

Add '-39' to each side of the equation.
39 + -39 + -54x = 75 + -39

Combine like terms: 39 + -39 = 0
0 + -54x = 75 + -39
-54x = 75 + -39

Combine like terms: 75 + -39 = 36
-54x = 36

Divide each side by '-54'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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