9(x+8)=5(3x-6)

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Solution for 9(x+8)=5(3x-6) equation:


Simplifying
9(x + 8) = 5(3x + -6)

Reorder the terms:
9(8 + x) = 5(3x + -6)
(8 * 9 + x * 9) = 5(3x + -6)
(72 + 9x) = 5(3x + -6)

Reorder the terms:
72 + 9x = 5(-6 + 3x)
72 + 9x = (-6 * 5 + 3x * 5)
72 + 9x = (-30 + 15x)

Solving
72 + 9x = -30 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
72 + 9x + -15x = -30 + 15x + -15x

Combine like terms: 9x + -15x = -6x
72 + -6x = -30 + 15x + -15x

Combine like terms: 15x + -15x = 0
72 + -6x = -30 + 0
72 + -6x = -30

Add '-72' to each side of the equation.
72 + -72 + -6x = -30 + -72

Combine like terms: 72 + -72 = 0
0 + -6x = -30 + -72
-6x = -30 + -72

Combine like terms: -30 + -72 = -102
-6x = -102

Divide each side by '-6'.
x = 17

Simplifying
x = 17

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