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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