7x+8y=9x+10

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Solution for 7x+8y=9x+10 equation:


Simplifying
7x + 8y = 9x + 10

Reorder the terms:
7x + 8y = 10 + 9x

Solving
7x + 8y = 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.
7x + -9x + 8y = 10 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-2x + 8y = 10 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2x + 8y = 10 + 0
-2x + 8y = 10

Add '-8y' to each side of the equation.
-2x + 8y + -8y = 10 + -8y

Combine like terms: 8y + -8y = 0
-2x + 0 = 10 + -8y
-2x = 10 + -8y

Divide each side by '-2'.
x = -5 + 4y

Simplifying
x = -5 + 4y

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