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

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


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

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

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

Add '36' to each side of the equation.
-36 + 36 + 6x = -36 + 36 + 9x

Combine like terms: -36 + 36 = 0
0 + 6x = -36 + 36 + 9x
6x = -36 + 36 + 9x

Combine like terms: -36 + 36 = 0
6x = 0 + 9x
6x = 9x

Solving
6x = 9x

Solving for variable 'x'.

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

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

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

Combine like terms: 9x + -9x = 0
-3x = 0

Divide each side by '-3'.
x = 0

Simplifying
x = 0

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