3x+7y=9x+10

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Solution for 3x+7y=9x+10 equation: 


Simplifying
3x + 7y = 9x + 10

Reorder the terms:
3x + 7y = 10 + 9x

Solving
3x + 7y = 10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
3x + -9x + 7y = 10 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-6x + 7y = 10 + 9x + -9x

Combine like terms: 9x + -9x = 0
-6x + 7y = 10 + 0
-6x + 7y = 10

Add '-7y' to each side of the equation.
-6x + 7y + -7y = 10 + -7y

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

Divide each side by '-6'.
x = -1.666666667 + 1.166666667y

Simplifying
x = -1.666666667 + 1.166666667y

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