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

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


Simplifying
9(x + -5) = 6(x + 4)

Reorder the terms:
9(-5 + x) = 6(x + 4)
(-5 * 9 + x * 9) = 6(x + 4)
(-45 + 9x) = 6(x + 4)

Reorder the terms:
-45 + 9x = 6(4 + x)
-45 + 9x = (4 * 6 + x * 6)
-45 + 9x = (24 + 6x)

Solving
-45 + 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.
-45 + 9x + -6x = 24 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-45 + 3x = 24 + 6x + -6x

Combine like terms: 6x + -6x = 0
-45 + 3x = 24 + 0
-45 + 3x = 24

Add '45' to each side of the equation.
-45 + 45 + 3x = 24 + 45

Combine like terms: -45 + 45 = 0
0 + 3x = 24 + 45
3x = 24 + 45

Combine like terms: 24 + 45 = 69
3x = 69

Divide each side by '3'.
x = 23

Simplifying
x = 23

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