3[9-(-3x-7)]=27x+90

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Solution for 3[9-(-3x-7)]=27x+90 equation: 


Simplifying
3[9 + -1(-3x + -7)] = 27x + 90

Reorder the terms:
3[9 + -1(-7 + -3x)] = 27x + 90
3[9 + (-7 * -1 + -3x * -1)] = 27x + 90
3[9 + (7 + 3x)] = 27x + 90

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

Reorder the terms:
48 + 9x = 90 + 27x

Solving
48 + 9x = 90 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
48 + 9x + -27x = 90 + 27x + -27x

Combine like terms: 9x + -27x = -18x
48 + -18x = 90 + 27x + -27x

Combine like terms: 27x + -27x = 0
48 + -18x = 90 + 0
48 + -18x = 90

Add '-48' to each side of the equation.
48 + -48 + -18x = 90 + -48

Combine like terms: 48 + -48 = 0
0 + -18x = 90 + -48
-18x = 90 + -48

Combine like terms: 90 + -48 = 42
-18x = 42

Divide each side by '-18'.
x = -2.333333333

Simplifying
x = -2.333333333

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