45=33-2(x-3)

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


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

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

Combine like terms: 33 + 6 = 39
45 = 39 + -2x

Solving
45 = 39 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
45 + 2x = 39 + -2x + 2x

Combine like terms: -2x + 2x = 0
45 + 2x = 39 + 0
45 + 2x = 39

Add '-45' to each side of the equation.
45 + -45 + 2x = 39 + -45

Combine like terms: 45 + -45 = 0
0 + 2x = 39 + -45
2x = 39 + -45

Combine like terms: 39 + -45 = -6
2x = -6

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

Simplifying
x = -3

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