2-(x-3)-(2-3x)=11

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Solution for 2-(x-3)-(2-3x)=11 equation:


Simplifying
2 + -1(x + -3) + -1(2 + -3x) = 11

Reorder the terms:
2 + -1(-3 + x) + -1(2 + -3x) = 11
2 + (-3 * -1 + x * -1) + -1(2 + -3x) = 11
2 + (3 + -1x) + -1(2 + -3x) = 11
2 + 3 + -1x + (2 * -1 + -3x * -1) = 11
2 + 3 + -1x + (-2 + 3x) = 11

Reorder the terms:
2 + 3 + -2 + -1x + 3x = 11

Combine like terms: 2 + 3 = 5
5 + -2 + -1x + 3x = 11

Combine like terms: 5 + -2 = 3
3 + -1x + 3x = 11

Combine like terms: -1x + 3x = 2x
3 + 2x = 11

Solving
3 + 2x = 11

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 11 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 11 + -3
2x = 11 + -3

Combine like terms: 11 + -3 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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