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

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


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

Reorder the terms:
6 = -6(-4 + x) + 9(x + -3)
6 = (-4 * -6 + x * -6) + 9(x + -3)
6 = (24 + -6x) + 9(x + -3)

Reorder the terms:
6 = 24 + -6x + 9(-3 + x)
6 = 24 + -6x + (-3 * 9 + x * 9)
6 = 24 + -6x + (-27 + 9x)

Reorder the terms:
6 = 24 + -27 + -6x + 9x

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

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

Solving
6 = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + -3x = -3 + 3x + -3x

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

Add '-6' to each side of the equation.
6 + -6 + -3x = -3 + -6

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

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

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

Simplifying
x = 3

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