6+3(2-13(x-1))=15-18x

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Solution for 6+3(2-13(x-1))=15-18x equation: 


Simplifying
6 + 3(2 + -13(x + -1)) = 15 + -18x

Reorder the terms:
6 + 3(2 + -13(-1 + x)) = 15 + -18x
6 + 3(2 + (-1 * -13 + x * -13)) = 15 + -18x
6 + 3(2 + (13 + -13x)) = 15 + -18x

Combine like terms: 2 + 13 = 15
6 + 3(15 + -13x) = 15 + -18x
6 + (15 * 3 + -13x * 3) = 15 + -18x
6 + (45 + -39x) = 15 + -18x

Combine like terms: 6 + 45 = 51
51 + -39x = 15 + -18x

Solving
51 + -39x = 15 + -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.
51 + -39x + 18x = 15 + -18x + 18x

Combine like terms: -39x + 18x = -21x
51 + -21x = 15 + -18x + 18x

Combine like terms: -18x + 18x = 0
51 + -21x = 15 + 0
51 + -21x = 15

Add '-51' to each side of the equation.
51 + -51 + -21x = 15 + -51

Combine like terms: 51 + -51 = 0
0 + -21x = 15 + -51
-21x = 15 + -51

Combine like terms: 15 + -51 = -36
-21x = -36

Divide each side by '-21'.
x = 1.714285714

Simplifying
x = 1.714285714

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