5x-6=78-7x

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Solution for 5x-6=78-7x equation:


Simplifying
5x + -6 = 78 + -7x

Reorder the terms:
-6 + 5x = 78 + -7x

Solving
-6 + 5x = 78 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-6 + 5x + 7x = 78 + -7x + 7x

Combine like terms: 5x + 7x = 12x
-6 + 12x = 78 + -7x + 7x

Combine like terms: -7x + 7x = 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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