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

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


Simplifying
9(x + -3) = 6(x + 4)

Reorder the terms:
9(-3 + x) = 6(x + 4)
(-3 * 9 + x * 9) = 6(x + 4)
(-27 + 9x) = 6(x + 4)

Reorder the terms:
-27 + 9x = 6(4 + x)
-27 + 9x = (4 * 6 + x * 6)
-27 + 9x = (24 + 6x)

Solving
-27 + 9x = 24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-27 + 9x + -6x = 24 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-27 + 3x = 24 + 6x + -6x

Combine like terms: 6x + -6x = 0
-27 + 3x = 24 + 0
-27 + 3x = 24

Add '27' to each side of the equation.
-27 + 27 + 3x = 24 + 27

Combine like terms: -27 + 27 = 0
0 + 3x = 24 + 27
3x = 24 + 27

Combine like terms: 24 + 27 = 51
3x = 51

Divide each side by '3'.
x = 17

Simplifying
x = 17

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