2(x-11)=-3(-5x-11)-2x

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Solution for 2(x-11)=-3(-5x-11)-2x equation:


Simplifying
2(x + -11) = -3(-5x + -11) + -2x

Reorder the terms:
2(-11 + x) = -3(-5x + -11) + -2x
(-11 * 2 + x * 2) = -3(-5x + -11) + -2x
(-22 + 2x) = -3(-5x + -11) + -2x

Reorder the terms:
-22 + 2x = -3(-11 + -5x) + -2x
-22 + 2x = (-11 * -3 + -5x * -3) + -2x
-22 + 2x = (33 + 15x) + -2x

Combine like terms: 15x + -2x = 13x
-22 + 2x = 33 + 13x

Solving
-22 + 2x = 33 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-22 + 2x + -13x = 33 + 13x + -13x

Combine like terms: 2x + -13x = -11x
-22 + -11x = 33 + 13x + -13x

Combine like terms: 13x + -13x = 0
-22 + -11x = 33 + 0
-22 + -11x = 33

Add '22' to each side of the equation.
-22 + 22 + -11x = 33 + 22

Combine like terms: -22 + 22 = 0
0 + -11x = 33 + 22
-11x = 33 + 22

Combine like terms: 33 + 22 = 55
-11x = 55

Divide each side by '-11'.
x = -5

Simplifying
x = -5

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