3=-6(x-2)+9(x-3)

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Solution for 3=-6(x-2)+9(x-3) equation:


Simplifying
3 = -6(x + -2) + 9(x + -3)

Reorder the terms:
3 = -6(-2 + x) + 9(x + -3)
3 = (-2 * -6 + x * -6) + 9(x + -3)
3 = (12 + -6x) + 9(x + -3)

Reorder the terms:
3 = 12 + -6x + 9(-3 + x)
3 = 12 + -6x + (-3 * 9 + x * 9)
3 = 12 + -6x + (-27 + 9x)

Reorder the terms:
3 = 12 + -27 + -6x + 9x

Combine like terms: 12 + -27 = -15
3 = -15 + -6x + 9x

Combine like terms: -6x + 9x = 3x
3 = -15 + 3x

Solving
3 = -15 + 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.
3 + -3x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -3x = -15 + 0
3 + -3x = -15

Add '-3' to each side of the equation.
3 + -3 + -3x = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = -15 + -3
-3x = -15 + -3

Combine like terms: -15 + -3 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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