45=-3(x-2)+9

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Solution for 45=-3(x-2)+9 equation:


Simplifying
45 = -3(x + -2) + 9

Reorder the terms:
45 = -3(-2 + x) + 9
45 = (-2 * -3 + x * -3) + 9
45 = (6 + -3x) + 9

Reorder the terms:
45 = 6 + 9 + -3x

Combine like terms: 6 + 9 = 15
45 = 15 + -3x

Solving
45 = 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.
45 + 3x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
45 + 3x = 15 + 0
45 + 3x = 15

Add '-45' to each side of the equation.
45 + -45 + 3x = 15 + -45

Combine like terms: 45 + -45 = 0
0 + 3x = 15 + -45
3x = 15 + -45

Combine like terms: 15 + -45 = -30
3x = -30

Divide each side by '3'.
x = -10

Simplifying
x = -10

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