6(x-(7x-6))=2-3x

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Solution for 6(x-(7x-6))=2-3x equation:


Simplifying
6(x + -1(7x + -6)) = 2 + -3x

Reorder the terms:
6(x + -1(-6 + 7x)) = 2 + -3x
6(x + (-6 * -1 + 7x * -1)) = 2 + -3x
6(x + (6 + -7x)) = 2 + -3x

Reorder the terms:
6(6 + x + -7x) = 2 + -3x

Combine like terms: x + -7x = -6x
6(6 + -6x) = 2 + -3x
(6 * 6 + -6x * 6) = 2 + -3x
(36 + -36x) = 2 + -3x

Solving
36 + -36x = 2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
36 + -36x + 3x = 2 + -3x + 3x

Combine like terms: -36x + 3x = -33x
36 + -33x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
36 + -33x = 2 + 0
36 + -33x = 2

Add '-36' to each side of the equation.
36 + -36 + -33x = 2 + -36

Combine like terms: 36 + -36 = 0
0 + -33x = 2 + -36
-33x = 2 + -36

Combine like terms: 2 + -36 = -34
-33x = -34

Divide each side by '-33'.
x = 1.03030303

Simplifying
x = 1.03030303

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