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

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


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

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

Reorder the terms:
-33 = 3(-3 + x) + -3
-33 = (-3 * 3 + x * 3) + -3
-33 = (-9 + 3x) + -3

Reorder the terms:
-33 = -9 + -3 + 3x

Combine like terms: -9 + -3 = -12
-33 = -12 + 3x

Solving
-33 = -12 + 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 = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-33 + -3x = -12 + 0
-33 + -3x = -12

Add '33' to each side of the equation.
-33 + 33 + -3x = -12 + 33

Combine like terms: -33 + 33 = 0
0 + -3x = -12 + 33
-3x = -12 + 33

Combine like terms: -12 + 33 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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