11(x-11)-2=27x-315

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Solution for 11(x-11)-2=27x-315 equation:


Simplifying
11(x + -11) + -2 = 27x + -315

Reorder the terms:
11(-11 + x) + -2 = 27x + -315
(-11 * 11 + x * 11) + -2 = 27x + -315
(-121 + 11x) + -2 = 27x + -315

Reorder the terms:
-121 + -2 + 11x = 27x + -315

Combine like terms: -121 + -2 = -123
-123 + 11x = 27x + -315

Reorder the terms:
-123 + 11x = -315 + 27x

Solving
-123 + 11x = -315 + 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.
-123 + 11x + -27x = -315 + 27x + -27x

Combine like terms: 11x + -27x = -16x
-123 + -16x = -315 + 27x + -27x

Combine like terms: 27x + -27x = 0
-123 + -16x = -315 + 0
-123 + -16x = -315

Add '123' to each side of the equation.
-123 + 123 + -16x = -315 + 123

Combine like terms: -123 + 123 = 0
0 + -16x = -315 + 123
-16x = -315 + 123

Combine like terms: -315 + 123 = -192
-16x = -192

Divide each side by '-16'.
x = 12

Simplifying
x = 12

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