3x-5+15y=2x+y

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Solution for 3x-5+15y=2x+y equation:


Simplifying
3x + -5 + 15y = 2x + y

Reorder the terms:
-5 + 3x + 15y = 2x + y

Solving
-5 + 3x + 15y = 2x + y

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-5 + 3x + -2x + 15y = 2x + -2x + y

Combine like terms: 3x + -2x = 1x
-5 + 1x + 15y = 2x + -2x + y

Combine like terms: 2x + -2x = 0
-5 + 1x + 15y = 0 + y
-5 + 1x + 15y = y

Add '5' to each side of the equation.
-5 + 1x + 5 + 15y = 5 + y

Reorder the terms:
-5 + 5 + 1x + 15y = 5 + y

Combine like terms: -5 + 5 = 0
0 + 1x + 15y = 5 + y
1x + 15y = 5 + y

Add '-15y' to each side of the equation.
1x + 15y + -15y = 5 + y + -15y

Combine like terms: 15y + -15y = 0
1x + 0 = 5 + y + -15y
1x = 5 + y + -15y

Combine like terms: y + -15y = -14y
1x = 5 + -14y

Divide each side by '1'.
x = 5 + -14y

Simplifying
x = 5 + -14y

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