3x-6=84-7x

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Solution for 3x-6=84-7x equation:


Simplifying
3x + -6 = 84 + -7x

Reorder the terms:
-6 + 3x = 84 + -7x

Solving
-6 + 3x = 84 + -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 + 3x + 7x = 84 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-6 + 10x = 84 + -7x + 7x

Combine like terms: -7x + 7x = 0
-6 + 10x = 84 + 0
-6 + 10x = 84

Add '6' to each side of the equation.
-6 + 6 + 10x = 84 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 84 + 6
10x = 84 + 6

Combine like terms: 84 + 6 = 90
10x = 90

Divide each side by '10'.
x = 9

Simplifying
x = 9

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