5+3[2-13(x-1)]=17-18x

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Solution for 5+3[2-13(x-1)]=17-18x equation: 


Simplifying
5 + 3[2 + -13(x + -1)] = 17 + -18x

Reorder the terms:
5 + 3[2 + -13(-1 + x)] = 17 + -18x
5 + 3[2 + (-1 * -13 + x * -13)] = 17 + -18x
5 + 3[2 + (13 + -13x)] = 17 + -18x

Combine like terms: 2 + 13 = 15
5 + 3[15 + -13x] = 17 + -18x
5 + [15 * 3 + -13x * 3] = 17 + -18x
5 + [45 + -39x] = 17 + -18x

Combine like terms: 5 + 45 = 50
50 + -39x = 17 + -18x

Solving
50 + -39x = 17 + -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.
50 + -39x + 18x = 17 + -18x + 18x

Combine like terms: -39x + 18x = -21x
50 + -21x = 17 + -18x + 18x

Combine like terms: -18x + 18x = 0
50 + -21x = 17 + 0
50 + -21x = 17

Add '-50' to each side of the equation.
50 + -50 + -21x = 17 + -50

Combine like terms: 50 + -50 = 0
0 + -21x = 17 + -50
-21x = 17 + -50

Combine like terms: 17 + -50 = -33
-21x = -33

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

Simplifying
x = 1.571428571

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