9(6+3x)=5(5-4x)-65

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Solution for 9(6+3x)=5(5-4x)-65 equation: 


Simplifying
9(6 + 3x) = 5(5 + -4x) + -65
(6 * 9 + 3x * 9) = 5(5 + -4x) + -65
(54 + 27x) = 5(5 + -4x) + -65
54 + 27x = (5 * 5 + -4x * 5) + -65
54 + 27x = (25 + -20x) + -65

Reorder the terms:
54 + 27x = 25 + -65 + -20x

Combine like terms: 25 + -65 = -40
54 + 27x = -40 + -20x

Solving
54 + 27x = -40 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
54 + 27x + 20x = -40 + -20x + 20x

Combine like terms: 27x + 20x = 47x
54 + 47x = -40 + -20x + 20x

Combine like terms: -20x + 20x = 0
54 + 47x = -40 + 0
54 + 47x = -40

Add '-54' to each side of the equation.
54 + -54 + 47x = -40 + -54

Combine like terms: 54 + -54 = 0
0 + 47x = -40 + -54
47x = -40 + -54

Combine like terms: -40 + -54 = -94
47x = -94

Divide each side by '47'.
x = -2

Simplifying
x = -2

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