11(X-9)-6=27X-281

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Solution for 11(X-9)-6=27X-281 equation: 


Simplifying
11(X + -9) + -6 = 27X + -281

Reorder the terms:
11(-9 + X) + -6 = 27X + -281
(-9 * 11 + X * 11) + -6 = 27X + -281
(-99 + 11X) + -6 = 27X + -281

Reorder the terms:
-99 + -6 + 11X = 27X + -281

Combine like terms: -99 + -6 = -105
-105 + 11X = 27X + -281

Reorder the terms:
-105 + 11X = -281 + 27X

Solving
-105 + 11X = -281 + 27X

Solving for variable 'X'.

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

Add '-27X' to each side of the equation.
-105 + 11X + -27X = -281 + 27X + -27X

Combine like terms: 11X + -27X = -16X
-105 + -16X = -281 + 27X + -27X

Combine like terms: 27X + -27X = 0
-105 + -16X = -281 + 0
-105 + -16X = -281

Add '105' to each side of the equation.
-105 + 105 + -16X = -281 + 105

Combine like terms: -105 + 105 = 0
0 + -16X = -281 + 105
-16X = -281 + 105

Combine like terms: -281 + 105 = -176
-16X = -176

Divide each side by '-16'.
X = 11

Simplifying
X = 11

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