9(x-2)=27(3x)

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Solution for 9(x-2)=27(3x) equation:


Simplifying
9(x + -2) = 27(3x)

Reorder the terms:
9(-2 + x) = 27(3x)
(-2 * 9 + x * 9) = 27(3x)
(-18 + 9x) = 27(3x)

Remove parenthesis around (3x)
-18 + 9x = 27 * 3x

Multiply 27 * 3
-18 + 9x = 81x

Solving
-18 + 9x = 81x

Solving for variable 'x'.

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

Add '-81x' to each side of the equation.
-18 + 9x + -81x = 81x + -81x

Combine like terms: 9x + -81x = -72x
-18 + -72x = 81x + -81x

Combine like terms: 81x + -81x = 0
-18 + -72x = 0

Add '18' to each side of the equation.
-18 + 18 + -72x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -72x = 0 + 18
-72x = 0 + 18

Combine like terms: 0 + 18 = 18
-72x = 18

Divide each side by '-72'.
x = -0.25

Simplifying
x = -0.25

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