4x+6=-78-10x

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Solution for 4x+6=-78-10x equation:


Simplifying
4x + 6 = -78 + -10x

Reorder the terms:
6 + 4x = -78 + -10x

Solving
6 + 4x = -78 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
6 + 4x + 10x = -78 + -10x + 10x

Combine like terms: 4x + 10x = 14x
6 + 14x = -78 + -10x + 10x

Combine like terms: -10x + 10x = 0
6 + 14x = -78 + 0
6 + 14x = -78

Add '-6' to each side of the equation.
6 + -6 + 14x = -78 + -6

Combine like terms: 6 + -6 = 0
0 + 14x = -78 + -6
14x = -78 + -6

Combine like terms: -78 + -6 = -84
14x = -84

Divide each side by '14'.
x = -6

Simplifying
x = -6

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