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

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


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

Reorder the terms:
9(-4 + x) = 4(x + 6)
(-4 * 9 + x * 9) = 4(x + 6)
(-36 + 9x) = 4(x + 6)

Reorder the terms:
-36 + 9x = 4(6 + x)
-36 + 9x = (6 * 4 + x * 4)
-36 + 9x = (24 + 4x)

Solving
-36 + 9x = 24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-36 + 9x + -4x = 24 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-36 + 5x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-36 + 5x = 24 + 0
-36 + 5x = 24

Add '36' to each side of the equation.
-36 + 36 + 5x = 24 + 36

Combine like terms: -36 + 36 = 0
0 + 5x = 24 + 36
5x = 24 + 36

Combine like terms: 24 + 36 = 60
5x = 60

Divide each side by '5'.
x = 12

Simplifying
x = 12

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