9+3[2-13(x-1)]=21-18x

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Solution for 9+3[2-13(x-1)]=21-18x equation: 


Simplifying
9 + 3[2 + -13(x + -1)] = 21 + -18x

Reorder the terms:
9 + 3[2 + -13(-1 + x)] = 21 + -18x
9 + 3[2 + (-1 * -13 + x * -13)] = 21 + -18x
9 + 3[2 + (13 + -13x)] = 21 + -18x

Combine like terms: 2 + 13 = 15
9 + 3[15 + -13x] = 21 + -18x
9 + [15 * 3 + -13x * 3] = 21 + -18x
9 + [45 + -39x] = 21 + -18x

Combine like terms: 9 + 45 = 54
54 + -39x = 21 + -18x

Solving
54 + -39x = 21 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
54 + -39x + 18x = 21 + -18x + 18x

Combine like terms: -39x + 18x = -21x
54 + -21x = 21 + -18x + 18x

Combine like terms: -18x + 18x = 0
54 + -21x = 21 + 0
54 + -21x = 21

Add '-54' to each side of the equation.
54 + -54 + -21x = 21 + -54

Combine like terms: 54 + -54 = 0
0 + -21x = 21 + -54
-21x = 21 + -54

Combine like terms: 21 + -54 = -33
-21x = -33

Divide each side by '-21'.
x = 1.571428571

Simplifying
x = 1.571428571

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