45=33-3(x-2)

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Solution for 45=33-3(x-2) equation:


Simplifying
45 = 33 + -3(x + -2)

Reorder the terms:
45 = 33 + -3(-2 + x)
45 = 33 + (-2 * -3 + x * -3)
45 = 33 + (6 + -3x)

Combine like terms: 33 + 6 = 39
45 = 39 + -3x

Solving
45 = 39 + -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 = 39 + -3x + 3x

Combine like terms: -3x + 3x = 0
45 + 3x = 39 + 0
45 + 3x = 39

Add '-45' to each side of the equation.
45 + -45 + 3x = 39 + -45

Combine like terms: 45 + -45 = 0
0 + 3x = 39 + -45
3x = 39 + -45

Combine like terms: 39 + -45 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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