-3(x-11)=-(x-9)

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Solution for -3(x-11)=-(x-9) equation:


Simplifying
-3(x + -11) = -1(x + -9)

Reorder the terms:
-3(-11 + x) = -1(x + -9)
(-11 * -3 + x * -3) = -1(x + -9)
(33 + -3x) = -1(x + -9)

Reorder the terms:
33 + -3x = -1(-9 + x)
33 + -3x = (-9 * -1 + x * -1)
33 + -3x = (9 + -1x)

Solving
33 + -3x = 9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
33 + -3x + x = 9 + -1x + x

Combine like terms: -3x + x = -2x
33 + -2x = 9 + -1x + x

Combine like terms: -1x + x = 0
33 + -2x = 9 + 0
33 + -2x = 9

Add '-33' to each side of the equation.
33 + -33 + -2x = 9 + -33

Combine like terms: 33 + -33 = 0
0 + -2x = 9 + -33
-2x = 9 + -33

Combine like terms: 9 + -33 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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