9x-90=-5x+78

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Solution for 9x-90=-5x+78 equation:


Simplifying
9x + -90 = -5x + 78

Reorder the terms:
-90 + 9x = -5x + 78

Reorder the terms:
-90 + 9x = 78 + -5x

Solving
-90 + 9x = 78 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-90 + 9x + 5x = 78 + -5x + 5x

Combine like terms: 9x + 5x = 14x
-90 + 14x = 78 + -5x + 5x

Combine like terms: -5x + 5x = 0
-90 + 14x = 78 + 0
-90 + 14x = 78

Add '90' to each side of the equation.
-90 + 90 + 14x = 78 + 90

Combine like terms: -90 + 90 = 0
0 + 14x = 78 + 90
14x = 78 + 90

Combine like terms: 78 + 90 = 168
14x = 168

Divide each side by '14'.
x = 12

Simplifying
x = 12

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