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

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


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

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

Reorder the terms:
-6 + -3 + 3x = -3x + -45

Combine like terms: -6 + -3 = -9
-9 + 3x = -3x + -45

Reorder the terms:
-9 + 3x = -45 + -3x

Solving
-9 + 3x = -45 + -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.
-9 + 3x + 3x = -45 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-9 + 6x = -45 + -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + 6x = -45 + 0
-9 + 6x = -45

Add '9' to each side of the equation.
-9 + 9 + 6x = -45 + 9

Combine like terms: -9 + 9 = 0
0 + 6x = -45 + 9
6x = -45 + 9

Combine like terms: -45 + 9 = -36
6x = -36

Divide each side by '6'.
x = -6

Simplifying
x = -6

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