9x-4=2x+78

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Solution for 9x-4=2x+78 equation:


Simplifying
9x + -4 = 2x + 78

Reorder the terms:
-4 + 9x = 2x + 78

Reorder the terms:
-4 + 9x = 78 + 2x

Solving
-4 + 9x = 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.
-4 + 9x + -2x = 78 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-4 + 7x = 78 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 7x = 78 + 0
-4 + 7x = 78

Add '4' to each side of the equation.
-4 + 4 + 7x = 78 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 78 + 4
7x = 78 + 4

Combine like terms: 78 + 4 = 82
7x = 82

Divide each side by '7'.
x = 11.71428571

Simplifying
x = 11.71428571

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