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

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


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

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

Reorder the terms:
-2 + 2x + -3(3 + 2x) = x + -11
-2 + 2x + (3 * -3 + 2x * -3) = x + -11
-2 + 2x + (-9 + -6x) = x + -11

Reorder the terms:
-2 + -9 + 2x + -6x = x + -11

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

Combine like terms: 2x + -6x = -4x
-11 + -4x = x + -11

Reorder the terms:
-11 + -4x = -11 + x

Add '11' to each side of the equation.
-11 + 11 + -4x = -11 + 11 + x

Combine like terms: -11 + 11 = 0
0 + -4x = -11 + 11 + x
-4x = -11 + 11 + x

Combine like terms: -11 + 11 = 0
-4x = 0 + x
-4x = x

Solving
-4x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-4x + -1x = x + -1x

Combine like terms: -4x + -1x = -5x
-5x = x + -1x

Combine like terms: x + -1x = 0
-5x = 0

Divide each side by '-5'.
x = 0

Simplifying
x = 0

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