3(2x-3)=27(x-1)

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Solution for 3(2x-3)=27(x-1) equation:


Simplifying
3(2x + -3) = 27(x + -1)

Reorder the terms:
3(-3 + 2x) = 27(x + -1)
(-3 * 3 + 2x * 3) = 27(x + -1)
(-9 + 6x) = 27(x + -1)

Reorder the terms:
-9 + 6x = 27(-1 + x)
-9 + 6x = (-1 * 27 + x * 27)
-9 + 6x = (-27 + 27x)

Solving
-9 + 6x = -27 + 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.
-9 + 6x + -27x = -27 + 27x + -27x

Combine like terms: 6x + -27x = -21x
-9 + -21x = -27 + 27x + -27x

Combine like terms: 27x + -27x = 0
-9 + -21x = -27 + 0
-9 + -21x = -27

Add '9' to each side of the equation.
-9 + 9 + -21x = -27 + 9

Combine like terms: -9 + 9 = 0
0 + -21x = -27 + 9
-21x = -27 + 9

Combine like terms: -27 + 9 = -18
-21x = -18

Divide each side by '-21'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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