3(x-2)+42=-3x

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Solution for 3(x-2)+42=-3x equation:


Simplifying
3(x + -2) + 42 = -3x

Reorder the terms:
3(-2 + x) + 42 = -3x
(-2 * 3 + x * 3) + 42 = -3x
(-6 + 3x) + 42 = -3x

Reorder the terms:
-6 + 42 + 3x = -3x

Combine like terms: -6 + 42 = 36
36 + 3x = -3x

Solving
36 + 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.
36 + 3x + 3x = -3x + 3x

Combine like terms: 3x + 3x = 6x
36 + 6x = -3x + 3x

Combine like terms: -3x + 3x = 0
36 + 6x = 0

Add '-36' to each side of the equation.
36 + -36 + 6x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 6x = 0 + -36
6x = 0 + -36

Combine like terms: 0 + -36 = -36
6x = -36

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

Simplifying
x = -6

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