2x+3y=7x-2x+8

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Solution for 2x+3y=7x-2x+8 equation:


Simplifying
2x + 3y = 7x + -2x + 8

Reorder the terms:
2x + 3y = 8 + 7x + -2x

Combine like terms: 7x + -2x = 5x
2x + 3y = 8 + 5x

Solving
2x + 3y = 8 + 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.
2x + -5x + 3y = 8 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-3x + 3y = 8 + 5x + -5x

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

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

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

Divide each side by '-3'.
x = -2.666666667 + y

Simplifying
x = -2.666666667 + y

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