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

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Solution for 2(x-1)=3(3-x)-11 equation:


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

Reorder the terms:
2(-1 + x) = 3(3 + -1x) + -11
(-1 * 2 + x * 2) = 3(3 + -1x) + -11
(-2 + 2x) = 3(3 + -1x) + -11
-2 + 2x = (3 * 3 + -1x * 3) + -11
-2 + 2x = (9 + -3x) + -11

Reorder the terms:
-2 + 2x = 9 + -11 + -3x

Combine like terms: 9 + -11 = -2
-2 + 2x = -2 + -3x

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

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

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

Solving
2x = -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.
2x + 3x = -3x + 3x

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

Combine like terms: -3x + 3x = 0
5x = 0

Divide each side by '5'.
x = 0

Simplifying
x = 0

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