3x+5y=8x-3y

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Solution for 3x+5y=8x-3y equation:


Simplifying
3x + 5y = 8x + -3y

Solving
3x + 5y = 8x + -3y

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3x + -8x + 5y = 8x + -8x + -3y

Combine like terms: 3x + -8x = -5x
-5x + 5y = 8x + -8x + -3y

Combine like terms: 8x + -8x = 0
-5x + 5y = 0 + -3y
-5x + 5y = -3y

Add '-5y' to each side of the equation.
-5x + 5y + -5y = -3y + -5y

Combine like terms: 5y + -5y = 0
-5x + 0 = -3y + -5y
-5x = -3y + -5y

Combine like terms: -3y + -5y = -8y
-5x = -8y

Divide each side by '-5'.
x = 1.6y

Simplifying
x = 1.6y

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