4x+6=-78-8x

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Solution for 4x+6=-78-8x equation:


Simplifying
4x + 6 = -78 + -8x

Reorder the terms:
6 + 4x = -78 + -8x

Solving
6 + 4x = -78 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
6 + 4x + 8x = -78 + -8x + 8x

Combine like terms: 4x + 8x = 12x
6 + 12x = -78 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 12x = -78 + 0
6 + 12x = -78

Add '-6' to each side of the equation.
6 + -6 + 12x = -78 + -6

Combine like terms: 6 + -6 = 0
0 + 12x = -78 + -6
12x = -78 + -6

Combine like terms: -78 + -6 = -84
12x = -84

Divide each side by '12'.
x = -7

Simplifying
x = -7

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