(9)[x-2]=(27)[2x]

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Solution for (9)[x-2]=(27)[2x] equation:


Simplifying
(9)[x + -2] = (27)[2x]

Reorder the terms:
9[-2 + x] = (27)[2x]
[-2 * 9 + x * 9] = (27)[2x]
[-18 + 9x] = (27)[2x]

Remove brackets around [2x]
-18 + 9x = 27 * 2x

Multiply 27 * 2
-18 + 9x = 54x

Solving
-18 + 9x = 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
-18 + 9x + -54x = 54x + -54x

Combine like terms: 9x + -54x = -45x
-18 + -45x = 54x + -54x

Combine like terms: 54x + -54x = 0
-18 + -45x = 0

Add '18' to each side of the equation.
-18 + 18 + -45x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -45x = 0 + 18
-45x = 0 + 18

Combine like terms: 0 + 18 = 18
-45x = 18

Divide each side by '-45'.
x = -0.4

Simplifying
x = -0.4

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