2-3(2x-3)=7x-1-x

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Solution for 2-3(2x-3)=7x-1-x equation: 


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

Reorder the terms:
2 + -3(-3 + 2x) = 7x + -1 + -1x
2 + (-3 * -3 + 2x * -3) = 7x + -1 + -1x
2 + (9 + -6x) = 7x + -1 + -1x

Combine like terms: 2 + 9 = 11
11 + -6x = 7x + -1 + -1x

Reorder the terms:
11 + -6x = -1 + 7x + -1x

Combine like terms: 7x + -1x = 6x
11 + -6x = -1 + 6x

Solving
11 + -6x = -1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + -6x + -6x = -1 + 6x + -6x

Combine like terms: -6x + -6x = -12x
11 + -12x = -1 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + -12x = -1 + 0
11 + -12x = -1

Add '-11' to each side of the equation.
11 + -11 + -12x = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -12x = -1 + -11
-12x = -1 + -11

Combine like terms: -1 + -11 = -12
-12x = -12

Divide each side by '-12'.
x = 1

Simplifying
x = 1

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