12-45=3(x-2)-3

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Solution for 12-45=3(x-2)-3 equation:


Simplifying
12 + -45 = 3(x + -2) + -3

Combine like terms: 12 + -45 = -33
-33 = 3(x + -2) + -3

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

Reorder the terms:
-33 = -6 + -3 + 3x

Combine like terms: -6 + -3 = -9
-33 = -9 + 3x

Solving
-33 = -9 + 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.
-33 + -3x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-33 + -3x = -9 + 0
-33 + -3x = -9

Add '33' to each side of the equation.
-33 + 33 + -3x = -9 + 33

Combine like terms: -33 + 33 = 0
0 + -3x = -9 + 33
-3x = -9 + 33

Combine like terms: -9 + 33 = 24
-3x = 24

Divide each side by '-3'.
x = -8

Simplifying
x = -8

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