6(x+5)=9(3x-6)

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Solution for 6(x+5)=9(3x-6) equation:


Simplifying
6(x + 5) = 9(3x + -6)

Reorder the terms:
6(5 + x) = 9(3x + -6)
(5 * 6 + x * 6) = 9(3x + -6)
(30 + 6x) = 9(3x + -6)

Reorder the terms:
30 + 6x = 9(-6 + 3x)
30 + 6x = (-6 * 9 + 3x * 9)
30 + 6x = (-54 + 27x)

Solving
30 + 6x = -54 + 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.
30 + 6x + -27x = -54 + 27x + -27x

Combine like terms: 6x + -27x = -21x
30 + -21x = -54 + 27x + -27x

Combine like terms: 27x + -27x = 0
30 + -21x = -54 + 0
30 + -21x = -54

Add '-30' to each side of the equation.
30 + -30 + -21x = -54 + -30

Combine like terms: 30 + -30 = 0
0 + -21x = -54 + -30
-21x = -54 + -30

Combine like terms: -54 + -30 = -84
-21x = -84

Divide each side by '-21'.
x = 4

Simplifying
x = 4

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