3x+2y=5x+10

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Solution for 3x+2y=5x+10 equation:


Simplifying
3x + 2y = 5x + 10

Reorder the terms:
3x + 2y = 10 + 5x

Solving
3x + 2y = 10 + 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.
3x + -5x + 2y = 10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-2x + 2y = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2x + 2y = 10 + 0
-2x + 2y = 10

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

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

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

Simplifying
x = -5 + y

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