3(x-1)+45=-3x

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Solution for 3(x-1)+45=-3x equation: 


Simplifying
3(x + -1) + 45 = -3x

Reorder the terms:
3(-1 + x) + 45 = -3x
(-1 * 3 + x * 3) + 45 = -3x
(-3 + 3x) + 45 = -3x

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

Combine like terms: -3 + 45 = 42
42 + 3x = -3x

Solving
42 + 3x = -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.
42 + 3x + 3x = -3x + 3x

Combine like terms: 3x + 3x = 6x
42 + 6x = -3x + 3x

Combine like terms: -3x + 3x = 0
42 + 6x = 0

Add '-42' to each side of the equation.
42 + -42 + 6x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 6x = 0 + -42
6x = 0 + -42

Combine like terms: 0 + -42 = -42
6x = -42

Divide each side by '6'.
x = -7

Simplifying
x = -7

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