6*x-9=2*x+78

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Solution for 6*x-9=2*x+78 equation:


Simplifying
6x + -9 = 2x + 78

Reorder the terms:
-9 + 6x = 2x + 78

Reorder the terms:
-9 + 6x = 78 + 2x

Solving
-9 + 6x = 78 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + 6x + -2x = 78 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-9 + 4x = 78 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 4x = 78 + 0
-9 + 4x = 78

Add '9' to each side of the equation.
-9 + 9 + 4x = 78 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 78 + 9
4x = 78 + 9

Combine like terms: 78 + 9 = 87
4x = 87

Divide each side by '4'.
x = 21.75

Simplifying
x = 21.75

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