15y-x=2(x+3)

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


Simplifying
15y + -1x = 2(x + 3)

Reorder the terms:
-1x + 15y = 2(x + 3)

Reorder the terms:
-1x + 15y = 2(3 + x)
-1x + 15y = (3 * 2 + x * 2)
-1x + 15y = (6 + 2x)

Solving
-1x + 15y = 6 + 2x

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.
-1x + -2x + 15y = 6 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-3x + 15y = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3x + 15y = 6 + 0
-3x + 15y = 6

Add '-15y' to each side of the equation.
-3x + 15y + -15y = 6 + -15y

Combine like terms: 15y + -15y = 0
-3x + 0 = 6 + -15y
-3x = 6 + -15y

Divide each side by '-3'.
x = -2 + 5y

Simplifying
x = -2 + 5y

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