45=33-2(x-2)

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


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

Reorder the terms:
45 = 33 + -2(-2 + x)
45 = 33 + (-2 * -2 + x * -2)
45 = 33 + (4 + -2x)

Combine like terms: 33 + 4 = 37
45 = 37 + -2x

Solving
45 = 37 + -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 = 37 + -2x + 2x

Combine like terms: -2x + 2x = 0
45 + 2x = 37 + 0
45 + 2x = 37

Add '-45' to each side of the equation.
45 + -45 + 2x = 37 + -45

Combine like terms: 45 + -45 = 0
0 + 2x = 37 + -45
2x = 37 + -45

Combine like terms: 37 + -45 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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