(x-11)=-2(8-x)

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Solution for (x-11)=-2(8-x) equation:


Simplifying
(x + -11) = -2(8 + -1x)

Reorder the terms:
(-11 + x) = -2(8 + -1x)

Remove parenthesis around (-11 + x)
-11 + x = -2(8 + -1x)
-11 + x = (8 * -2 + -1x * -2)
-11 + x = (-16 + 2x)

Solving
-11 + x = -16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-11 + x + -2x = -16 + 2x + -2x

Combine like terms: x + -2x = -1x
-11 + -1x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-11 + -1x = -16 + 0
-11 + -1x = -16

Add '11' to each side of the equation.
-11 + 11 + -1x = -16 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = -16 + 11
-1x = -16 + 11

Combine like terms: -16 + 11 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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