3x+6=-5x-42

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Solution for 3x+6=-5x-42 equation:


Simplifying
3x + 6 = -5x + -42

Reorder the terms:
6 + 3x = -5x + -42

Reorder the terms:
6 + 3x = -42 + -5x

Solving
6 + 3x = -42 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.
6 + 3x + 5x = -42 + -5x + 5x

Combine like terms: 3x + 5x = 8x
6 + 8x = -42 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 8x = -42 + 0
6 + 8x = -42

Add '-6' to each side of the equation.
6 + -6 + 8x = -42 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = -42 + -6
8x = -42 + -6

Combine like terms: -42 + -6 = -48
8x = -48

Divide each side by '8'.
x = -6

Simplifying
x = -6

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