27(3x-1)=9(4x+5)

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Solution for 27(3x-1)=9(4x+5) equation:


Simplifying
27(3x + -1) = 9(4x + 5)

Reorder the terms:
27(-1 + 3x) = 9(4x + 5)
(-1 * 27 + 3x * 27) = 9(4x + 5)
(-27 + 81x) = 9(4x + 5)

Reorder the terms:
-27 + 81x = 9(5 + 4x)
-27 + 81x = (5 * 9 + 4x * 9)
-27 + 81x = (45 + 36x)

Solving
-27 + 81x = 45 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-27 + 81x + -36x = 45 + 36x + -36x

Combine like terms: 81x + -36x = 45x
-27 + 45x = 45 + 36x + -36x

Combine like terms: 36x + -36x = 0
-27 + 45x = 45 + 0
-27 + 45x = 45

Add '27' to each side of the equation.
-27 + 27 + 45x = 45 + 27

Combine like terms: -27 + 27 = 0
0 + 45x = 45 + 27
45x = 45 + 27

Combine like terms: 45 + 27 = 72
45x = 72

Divide each side by '45'.
x = 1.6

Simplifying
x = 1.6

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